102551904 has 324 divisors, whose sum is σ = 375891516. Its totient is φ = 26417664.

The previous prime is 102551899. The next prime is 102551927. The reversal of 102551904 is 409155201.

102551904 is a `hidden beast` number, since 102 + 551 + 9 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2384907 + ... + 2384949.

It is an arithmetic number, because the mean of its divisors is an integer number (1160159).

Almost surely, 2^102551904 is an apocalyptic number.

102551904 is a gapful number since it is divisible by the number (14) 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 102551904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187945758).

102551904 is an abundant number, since it is smaller than the sum of its proper divisors (273339612).

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

102551904 is a wasteful number, since it uses less digits than its factorization.

102551904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 102551904 is about 10126.7913970813. The cubic root of 102551904 is about 468.0740623529.

The spelling of 102551904 in words is "one hundred two million, five hundred fifty-one thousand, nine hundred four".