102749088 has 192 divisors, whose sum is σ = 320060160. Its totient is φ = 28557312.

The previous prime is 102749069. The next prime is 102749099. The reversal of 102749088 is 880947201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615181 + ... + 615347.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2^102749088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102749088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

102749088 is an abundant number, since it is smaller than the sum of its proper divisors (217311072).

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

102749088 is a wasteful number, since it uses less digits than its factorization.

102749088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 102749088 is about 10136.5224806143. The cubic root of 102749088 is about 468.3738702882.

The spelling of 102749088 in words is "one hundred two million, seven hundred forty-nine thousand, eighty-eight".