102886938 has 96 divisors (see below), whose sum is σ = 292631040. Its totient is φ = 25310880.

The previous prime is 102886933. The next prime is 102886943. The reversal of 102886938 is 839688201.

It is an interprime number because it is at equal distance from previous prime (102886933) and next prime (102886943).

It is a super-2 number, since 2×102886938² = 21171444022031688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102886893 and 102886902.

It is not an unprimeable number, because it can be changed into a prime (102886933) 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 47 ways as a sum of consecutive naturals, for example, 24381 + ... + 28287.

It is an arithmetic number, because the mean of its divisors is an integer number (3048240).

Almost surely, 2^102886938 is an apocalyptic number.

102886938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102886938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146315520).

102886938 is an abundant number, since it is smaller than the sum of its proper divisors (189744102).

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

102886938 is a wasteful number, since it uses less digits than its factorization.

102886938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 102886938 is about 10143.3198707327. The cubic root of 102886938 is about 468.5832362521.

The spelling of 102886938 in words is "one hundred two million, eight hundred eighty-six thousand, nine hundred thirty-eight".