105801370896 has 80 divisors (see below), whose sum is σ = 297891308736. Its totient is φ = 32162032128.

The previous prime is 105801370891. The next prime is 105801370949. The reversal of 105801370896 is 698073108501.

It is a super-2 number, since 2×105801370896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (105801370891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969615 + ... + 1073198.

Almost surely, 2^105801370896 is an apocalyptic number.

105801370896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105801370896 is an abundant number, since it is smaller than the sum of its proper divisors (192089937840).

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

105801370896 is a wasteful number, since it uses less digits than its factorization.

105801370896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042920 (or 2042914 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 105801370896 in words is "one hundred five billion, eight hundred one million, three hundred seventy thousand, eight hundred ninety-six".