100610605500100 has 18 divisors (see below), whose sum is σ = 218325013935434. Its totient is φ = 40244242200000.

The previous prime is 100610605500047. The next prime is 100610605500103. The reversal of 100610605500100 is 1005506016001.

It can be written as a sum of positive squares in 3 ways, for example, as 3986699075584 + 96623906424516 = 1996672^2 + 9829746^2 .

It is a super-2 number, since 2×100610605500100² (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 not an unprimeable number, because it can be changed into a prime (100610605500103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 503053027401 + ... + 503053027600.

Almost surely, 2^{100610605500100} is an apocalyptic number.

100610605500100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100610605500100 is an abundant number, since it is smaller than the sum of its proper divisors (117714408435334).

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

100610605500100 is a wasteful number, since it uses less digits than its factorization.

100610605500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006106055015 (or 1006106055008 counting only the distinct ones).

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

The spelling of 100610605500100 in words is "one hundred trillion, six hundred ten billion, six hundred five million, five hundred thousand, one hundred".