101397724560 has 800 divisors, whose sum is σ = 404874657792. Its totient is φ = 23279477760.

The previous prime is 101397724541. The next prime is 101397724607. The reversal of 101397724560 is 65427793101.

101397724560 is a `hidden beast` number, since 1 + 0 + 13 + 9 + 7 + 72 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 208208637 + ... + 208209123.

Almost surely, 2^101397724560 is an apocalyptic number.

101397724560 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 101397724560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202437328896).

101397724560 is an abundant number, since it is smaller than the sum of its proper divisors (303476933232).

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

101397724560 is a wasteful number, since it uses less digits than its factorization.

101397724560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 101397724560 in words is "one hundred one billion, three hundred ninety-seven million, seven hundred twenty-four thousand, five hundred sixty".