101005105560600 has 96 divisors (see below), whose sum is σ = 329595607656000. Its totient is φ = 25517079296640.

The previous prime is 101005105560523. The next prime is 101005105560617. The reversal of 101005105560600 is 6065501500101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4430037090 + ... + 4430059889.

It is an arithmetic number, because the mean of its divisors is an integer number (3433287579750).

Almost surely, 2^{101005105560600} is an apocalyptic number.

101005105560600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101005105560600 is an abundant number, since it is smaller than the sum of its proper divisors (228590502095400).

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

101005105560600 is a wasteful number, since it uses less digits than its factorization.

101005105560600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8860097017 (or 8860097008 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 101005105560600 in words is "one hundred one trillion, five billion, one hundred five million, five hundred sixty thousand, six hundred".