105061434656 has 24 divisors (see below), whose sum is σ = 211884572844. Its totient is φ = 51249479680.

The previous prime is 105061434637. The next prime is 105061434671. The reversal of 105061434656 is 656434160501.

It can be written as a sum of positive squares in 2 ways, for example, as 104032051600 + 1029383056 = 322540^2 + 32084^2 .

It is a super-2 number, since 2×105061434656² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40037345 + ... + 40039968.

Almost surely, 2^105061434656 is an apocalyptic number.

105061434656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105061434656 is an abundant number, since it is smaller than the sum of its proper divisors (106823138188).

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

105061434656 is an equidigital number, since it uses as much as digits as its factorization.

105061434656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80077364 (or 80077356 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 105061434656 in words is "one hundred five billion, sixty-one million, four hundred thirty-four thousand, six hundred fifty-six".