102038976 has 84 divisors (see below), whose sum is σ = 314997592. Its totient is φ = 31394304.

The previous prime is 102038969. The next prime is 102038977. The reversal of 102038976 is 679830201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102038976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102038977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675 + ... + 14301.

Almost surely, 2^102038976 is an apocalyptic number.

102038976 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 102038976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157498796).

102038976 is an abundant number, since it is smaller than the sum of its proper divisors (212958616).

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

102038976 is a wasteful number, since it uses less digits than its factorization.

102038976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13658 (or 13645 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 102038976 is about 10101.4343535955. The cubic root of 102038976 is about 467.2923778989.

It can be divided in two parts, 10203897 and 6, that added together give a triangular number (10203903 = T₄₅₁₇).

The spelling of 102038976 in words is "one hundred two million, thirty-eight thousand, nine hundred seventy-six".