102749169600 has 2688 divisors, whose sum is σ = 522480844800. Its totient is φ = 18977587200.

The previous prime is 102749169569. The next prime is 102749169659. The reversal of 102749169600 is 6961947201.

102749169600 is a `hidden beast` number, since 1 + 0 + 27 + 4 + 9 + 16 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1300622361 + ... + 1300622439.

Almost surely, 2^102749169600 is an apocalyptic number.

102749169600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102749169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261240422400).

102749169600 is an abundant number, since it is smaller than the sum of its proper divisors (419731675200).

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

102749169600 is a wasteful number, since it uses less digits than its factorization.

102749169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 102749169600 in words is "one hundred two billion, seven hundred forty-nine million, one hundred sixty-nine thousand, six hundred".