105872611680 has 1344 divisors, whose sum is σ = 445016436480. Its totient is φ = 23514624000.

The previous prime is 105872611657. The next prime is 105872611681. The reversal of 105872611680 is 86116278501.

105872611680 is a `hidden beast` number, since 1 + 0 + 587 + 2 + 6 + 1 + 1 + 68 + 0 = 666.

It is a super-2 number, since 2×105872611680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105872611681) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1048243630 + ... + 1048243730.

It is an arithmetic number, because the mean of its divisors is an integer number (331113420).

Almost surely, 2^105872611680 is an apocalyptic number.

105872611680 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 105872611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222508218240).

105872611680 is an abundant number, since it is smaller than the sum of its proper divisors (339143824800).

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

105872611680 is a wasteful number, since it uses less digits than its factorization.

105872611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 105872611680 in words is "one hundred five billion, eight hundred seventy-two million, six hundred eleven thousand, six hundred eighty".