105153252002100 has 54 divisors (see below), whose sum is σ = 329597026556070. Its totient is φ = 28040867200320.

The previous prime is 105153252002003. The next prime is 105153252002153. The reversal of 105153252002100 is 1200252351501.

105153252002100 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 5 + 32 + 520 + 0 + 2 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1875382346916 + 103277869655184 = 1369446^2 + 10162572^2 .

It is a super-2 number, since 2×105153252002100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58418472435 + ... + 58418474234.

Almost surely, 2^{105153252002100} is an apocalyptic number.

105153252002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105153252002100 is an abundant number, since it is smaller than the sum of its proper divisors (224443774553970).

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

105153252002100 is a wasteful number, since it uses less digits than its factorization.

105153252002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116836946689 (or 116836946679 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 105153252002100 in words is "one hundred five trillion, one hundred fifty-three billion, two hundred fifty-two million, two thousand, one hundred".