101955672 has 360 divisors, whose sum is σ = 378645300. Its totient is φ = 25474176.

The previous prime is 101955661. The next prime is 101955697. The reversal of 101955672 is 276559101.

101955672 is a `hidden beast` number, since 1 + 0 + 1 + 95 + 567 + 2 = 666.

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 89 ways as a sum of consecutive naturals, for example, 5366079 + ... + 5366097.

Almost surely, 2^101955672 is an apocalyptic number.

101955672 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 101955672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189322650).

101955672 is an abundant number, since it is smaller than the sum of its proper divisors (276689628).

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

101955672 is a wasteful number, since it uses less digits than its factorization.

101955672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 101955672 is about 10097.3101368632. The cubic root of 101955672 is about 467.1651783916.

The spelling of 101955672 in words is "one hundred one million, nine hundred fifty-five thousand, six hundred seventy-two".