102811968 has 168 divisors, whose sum is σ = 345204288. Its totient is φ = 28643328.

The previous prime is 102811927. The next prime is 102811981. The reversal of 102811968 is 869118201.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173080 + ... + 173672.

Almost surely, 2^102811968 is an apocalyptic number.

102811968 is a gapful number since it is divisible by the number (18) 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 102811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172602144).

102811968 is an abundant number, since it is smaller than the sum of its proper divisors (242392320).

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

102811968 is a wasteful number, since it uses less digits than its factorization.

102811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 102811968 is about 10139.6236616553. The cubic root of 102811968 is about 468.4693953637.

It can be divided in two parts, 1028 and 11968, that added together give a square (12996 = 114²).

The spelling of 102811968 in words is "one hundred two million, eight hundred eleven thousand, nine hundred sixty-eight".