102638272 has 56 divisors (see below), whose sum is σ = 229404672. Its totient is φ = 45139200.

The previous prime is 102638233. The next prime is 102638281. The reversal of 102638272 is 272836201.

It is a super-2 number, since 2×102638272² = 21069229758291968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19473 + ... + 24175.

It is an arithmetic number, because the mean of its divisors is an integer number (4096512).

Almost surely, 2^102638272 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 102638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114702336).

102638272 is an abundant number, since it is smaller than the sum of its proper divisors (126766400).

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

102638272 is a wasteful number, since it uses less digits than its factorization.

102638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 102638272 is about 10131.0548315563. The cubic root of 102638272 is about 468.2054276271.

The spelling of 102638272 in words is "one hundred two million, six hundred thirty-eight thousand, two hundred seventy-two".