106100500551120 has 160 divisors (see below), whose sum is σ = 365555206540800. Its totient is φ = 28285885380096.

The previous prime is 106100500551077. The next prime is 106100500551139. The reversal of 106100500551120 is 21155005001601.

106100500551120 is a `hidden beast` number, since 1 + 0 + 6 + 100 + 5 + 0 + 0 + 551 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×106100500551120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1484041 + ... + 14642519.

It is an arithmetic number, because the mean of its divisors is an integer number (2284720040880).

Almost surely, 2^{106100500551120} is an apocalyptic number.

106100500551120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106100500551120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182777603270400).

106100500551120 is an abundant number, since it is smaller than the sum of its proper divisors (259454705989680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106100500551120 is a wasteful number, since it uses less digits than its factorization.

106100500551120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13162234 (or 13162222 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 106100500551120 its reverse (21155005001601), we get a palindrome (127255505552721).

The spelling of 106100500551120 in words is "one hundred six trillion, one hundred billion, five hundred million, five hundred fifty-one thousand, one hundred twenty".