102638016 has 140 divisors (see below), whose sum is σ = 327870312. Its totient is φ = 31560192.

The previous prime is 102638009. The next prime is 102638059. The reversal of 102638016 is 610836201.

102638016 is a `hidden beast` number, since 10 + 2 + 638 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66631 + ... + 68153.

Almost surely, 2^102638016 is an apocalyptic number.

102638016 is a gapful number since it is divisible by the number (16) 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 102638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163935156).

102638016 is an abundant number, since it is smaller than the sum of its proper divisors (225232296).

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

102638016 is a wasteful number, since it uses less digits than its factorization.

102638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102638016 is about 10131.0421971286. The cubic root of 102638016 is about 468.2050383614.

The spelling of 102638016 in words is "one hundred two million, six hundred thirty-eight thousand, sixteen".