105846510000 has 400 divisors, whose sum is σ = 426008233728. Its totient is φ = 21993600000.

The previous prime is 105846509999. The next prime is 105846510001. The reversal of 105846510000 is 15648501.

It is an interprime number because it is at equal distance from previous prime (105846509999) and next prime (105846510001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×105846510000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 105846510000.

It is not an unprimeable number, because it can be changed into a prime (105846510001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2287090 + ... + 2332910.

Almost surely, 2^105846510000 is an apocalyptic number.

105846510000 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 105846510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213004116864).

105846510000 is an abundant number, since it is smaller than the sum of its proper divisors (320161723728).

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

105846510000 is a wasteful number, since it uses less digits than its factorization.

105846510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45870 (or 45849 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 105846510000 in words is "one hundred five billion, eight hundred forty-six million, five hundred ten thousand".