101472192 has 84 divisors (see below), whose sum is σ = 293613840. Its totient is φ = 33503232.

The previous prime is 101472143. The next prime is 101472211. The reversal of 101472192 is 291274101.

101472192 is a `hidden beast` number, since 1 + 0 + 1 + 472 + 192 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64309 + ... + 65867.

Almost surely, 2^101472192 is an apocalyptic number.

101472192 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 101472192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146806920).

101472192 is an abundant number, since it is smaller than the sum of its proper divisors (192141648).

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

101472192 is a wasteful number, since it uses less digits than its factorization.

101472192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 101472192 is about 10073.3406573986. The cubic root of 101472192 is about 466.4255661613.

The spelling of 101472192 in words is "one hundred one million, four hundred seventy-two thousand, one hundred ninety-two".