102611009400 has 48 divisors (see below), whose sum is σ = 318094131000. Its totient is φ = 27362935680.

The previous prime is 102611009357. The next prime is 102611009411. The reversal of 102611009400 is 4900116201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 85508575 + ... + 85509774.

Almost surely, 2^102611009400 is an apocalyptic number.

102611009400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102611009400 is an abundant number, since it is smaller than the sum of its proper divisors (215483121600).

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

102611009400 is a wasteful number, since it uses less digits than its factorization.

102611009400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171018368 (or 171018359 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 102611009400 in words is "one hundred two billion, six hundred eleven million, nine thousand, four hundred".