101388672 has 320 divisors, whose sum is σ = 379146240. Its totient is φ = 26127360.

The previous prime is 101388667. The next prime is 101388673. The reversal of 101388672 is 276883101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101388673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 798273 + ... + 798399.

It is an arithmetic number, because the mean of its divisors is an integer number (1184832).

Almost surely, 2^101388672 is an apocalyptic number.

101388672 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 101388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189573120).

101388672 is an abundant number, since it is smaller than the sum of its proper divisors (277757568).

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

101388672 is a wasteful number, since it uses less digits than its factorization.

101388672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 101388672 is about 10069.1942080784. The cubic root of 101388672 is about 466.2975621063.

The spelling of 101388672 in words is "one hundred one million, three hundred eighty-eight thousand, six hundred seventy-two".