100932480 has 384 divisors, whose sum is σ = 400982400. Its totient is φ = 24053760.

The previous prime is 100932479. The next prime is 100932523. The reversal of 100932480 is 84239001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710691 + ... + 1710749.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^100932480 is an apocalyptic number.

100932480 is a gapful number since it is divisible by the number (10) 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 100932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

100932480 is an abundant number, since it is smaller than the sum of its proper divisors (300049920).

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

100932480 is an equidigital number, since it uses as much as digits as its factorization.

100932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

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

The square root of 100932480 is about 10046.5158139526. The cubic root of 100932480 is about 465.5971516459.

It can be divided in two parts, 1009 and 32480, that added together give a square (33489 = 183²).

The spelling of 100932480 in words is "one hundred million, nine hundred thirty-two thousand, four hundred eighty".