102975936 has 112 divisors (see below), whose sum is σ = 329769216. Its totient is φ = 27684864.

The previous prime is 102975889. The next prime is 102975949. The reversal of 102975936 is 639579201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20595 + ... + 25101.

It is an arithmetic number, because the mean of its divisors is an integer number (2944368).

Almost surely, 2^102975936 is an apocalyptic number.

102975936 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 102975936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164884608).

102975936 is an abundant number, since it is smaller than the sum of its proper divisors (226793280).

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

102975936 is a wasteful number, since it uses less digits than its factorization.

102975936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 102975936 is about 10147.7059476514. The cubic root of 102975936 is about 468.7183066927.

The spelling of 102975936 in words is "one hundred two million, nine hundred seventy-five thousand, nine hundred thirty-six".