101464272 has 320 divisors, whose sum is σ = 374976000. Its totient is φ = 25546752.

The previous prime is 101464261. The next prime is 101464291. The reversal of 101464272 is 272464101.

101464272 is a `hidden beast` number, since 1 + 0 + 14 + 642 + 7 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1140004 + ... + 1140092.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^101464272 is an apocalyptic number.

101464272 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 101464272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

101464272 is an abundant number, since it is smaller than the sum of its proper divisors (273511728).

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

101464272 is a wasteful number, since it uses less digits than its factorization.

101464272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 101464272 is about 10072.9475328724. The cubic root of 101464272 is about 466.4134308609.

The spelling of 101464272 in words is "one hundred one million, four hundred sixty-four thousand, two hundred seventy-two".