105001000061056 has 32 divisors (see below), whose sum is σ = 228198196158480. Its totient is φ = 47727727299840.

The previous prime is 105001000061017. The next prime is 105001000061057. The reversal of 105001000061056 is 650160000100501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105001000061056² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105001000061056.

It is not an unprimeable number, because it can be changed into a prime (105001000061057) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37287285546 + ... + 37287288361.

Almost surely, 2^{105001000061056} is an apocalyptic number.

105001000061056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105001000061056 is an abundant number, since it is smaller than the sum of its proper divisors (123197196097424).

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

105001000061056 is an equidigital number, since it uses as much as digits as its factorization.

105001000061056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74574573932 (or 74574573920 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 105001000061056 its reverse (650160000100501), we get a palindrome (755161000161557).

The spelling of 105001000061056 in words is "one hundred five trillion, one billion, sixty-one thousand, fifty-six".