101893376 has 72 divisors (see below), whose sum is σ = 232047144. Its totient is φ = 44236800.

The previous prime is 101893361. The next prime is 101893397. The reversal of 101893376 is 673398101.

It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 100000000 = 1376^2 + 10000^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55676 + ... + 57476.

It is an arithmetic number, because the mean of its divisors is an integer number (3222877).

Almost surely, 2^101893376 is an apocalyptic number.

101893376 is a gapful number since it is divisible by the number (16) 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 101893376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116023572).

101893376 is an abundant number, since it is smaller than the sum of its proper divisors (130153768).

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

101893376 is a wasteful number, since it uses less digits than its factorization.

101893376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 101893376 is about 10094.2248835659. The cubic root of 101893376 is about 467.0700113754.

The spelling of 101893376 in words is "one hundred one million, eight hundred ninety-three thousand, three hundred seventy-six".