105706815160 has 32 divisors (see below), whose sum is σ = 237851241840. Its totient is φ = 42280786944.

The previous prime is 105706815121. The next prime is 105706815209. The reversal of 105706815160 is 61518607501.

It is a super-2 number, since 2×105706815160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1094179 + ... + 1186861.

Almost surely, 2^105706815160 is an apocalyptic number.

105706815160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105706815160 is an abundant number, since it is smaller than the sum of its proper divisors (132144426680).

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

105706815160 is a wasteful number, since it uses less digits than its factorization.

105706815160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121207 (or 121203 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 105706815160 in words is "one hundred five billion, seven hundred six million, eight hundred fifteen thousand, one hundred sixty".