105537532100 has 144 divisors (see below), whose sum is σ = 307490902656. Its totient is φ = 30364416000.

The previous prime is 105537532081. The next prime is 105537532127. The reversal of 105537532100 is 1235735501.

It is a super-2 number, since 2×105537532100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427061 + ... + 627260.

Almost surely, 2^105537532100 is an apocalyptic number.

105537532100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105537532100 is an abundant number, since it is smaller than the sum of its proper divisors (201953370556).

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

105537532100 is a wasteful number, since it uses less digits than its factorization.

105537532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054366 (or 1054359 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 32.

The spelling of 105537532100 in words is "one hundred five billion, five hundred thirty-seven million, five hundred thirty-two thousand, one hundred".