105006155100100 has 36 divisors (see below), whose sum is σ = 227864276885700. Its totient is φ = 42002292396160.

The previous prime is 105006155100047. The next prime is 105006155100139. The reversal of 105006155100100 is 1001551600501.

It can be written as a sum of positive squares in 6 ways, for example, as 1674498112576 + 103331656987524 = 1294024^2 + 10165218^2 .

It is a super-2 number, since 2×105006155100100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24414366 + ... + 28391434.

It is an arithmetic number, because the mean of its divisors is an integer number (6329563246825).

Almost surely, 2^{105006155100100} is an apocalyptic number.

105006155100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105006155100100 is an abundant number, since it is smaller than the sum of its proper divisors (122858121785600).

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

105006155100100 is a wasteful number, since it uses less digits than its factorization.

105006155100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241112 (or 4241105 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 105006155100100 in words is "one hundred five trillion, six billion, one hundred fifty-five million, one hundred thousand, one hundred".