102920832 has 96 divisors (see below), whose sum is σ = 338501280. Its totient is φ = 29403648.

The previous prime is 102920827. The next prime is 102920833. The reversal of 102920832 is 238029201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102920796 and 102920805.

It is not an unprimeable number, because it can be changed into a prime (102920833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1683 + ... + 14445.

It is an arithmetic number, because the mean of its divisors is an integer number (3526055).

Almost surely, 2^102920832 is an apocalyptic number.

102920832 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 102920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169250640).

102920832 is an abundant number, since it is smaller than the sum of its proper divisors (235580448).

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

102920832 is a wasteful number, since it uses less digits than its factorization.

102920832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12790 (or 12775 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102920832 is about 10144.9904879206. The cubic root of 102920832 is about 468.6346856612.

The spelling of 102920832 in words is "one hundred two million, nine hundred twenty thousand, eight hundred thirty-two".