101338560 has 224 divisors, whose sum is σ = 368320320. Its totient is φ = 26210304.

The previous prime is 101338543. The next prime is 101338579. The reversal of 101338560 is 65833101.

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 31 ways as a sum of consecutive naturals, for example, 319522 + ... + 319838.

Almost surely, 2^101338560 is an apocalyptic number.

101338560 is a gapful number since it is divisible by the number (10) 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 101338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184160160).

101338560 is an abundant number, since it is smaller than the sum of its proper divisors (266981760).

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

101338560 is a wasteful number, since it uses less digits than its factorization.

101338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 101338560 is about 10066.7055186888. The cubic root of 101338560 is about 466.2207259279.

The spelling of 101338560 in words is "one hundred one million, three hundred thirty-eight thousand, five hundred sixty".