102978432 has 128 divisors (see below), whose sum is σ = 308448000. Its totient is φ = 33818112.

The previous prime is 102978427. The next prime is 102978443. The reversal of 102978432 is 234879201.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 286669 + ... + 287027.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^102978432 is an apocalyptic number.

102978432 is a gapful number since it is divisible by the number (12) 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 102978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

102978432 is an abundant number, since it is smaller than the sum of its proper divisors (205469568).

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

102978432 is an equidigital number, since it uses as much as digits as its factorization.

102978432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 102978432 is about 10147.8289303673. The cubic root of 102978432 is about 468.7220936987.

The spelling of 102978432 in words is "one hundred two million, nine hundred seventy-eight thousand, four hundred thirty-two".