101932480 has 112 divisors (see below), whose sum is σ = 264993120. Its totient is φ = 37122048.

The previous prime is 101932451. The next prime is 101932513. The reversal of 101932480 is 84239101.

It is a happy number.

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, 445006 + ... + 445234.

It is an arithmetic number, because the mean of its divisors is an integer number (2366010).

Almost surely, 2^101932480 is an apocalyptic number.

101932480 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 101932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132496560).

101932480 is an abundant number, since it is smaller than the sum of its proper divisors (163060640).

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

101932480 is a wasteful number, since it uses less digits than its factorization.

101932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 101932480 is about 10096.1616468834. The cubic root of 101932480 is about 467.1297534655.

The spelling of 101932480 in words is "one hundred one million, nine hundred thirty-two thousand, four hundred eighty".