101955490560 has 1728 divisors, whose sum is σ = 470804167680. Its totient is φ = 20692869120.

The previous prime is 101955490537. The next prime is 101955490597. The reversal of 101955490560 is 65094559101.

It is a happy number.

101955490560 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 554 + 90 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×101955490560² (a number of 23 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 2371057899 + ... + 2371057941.

Almost surely, 2^101955490560 is an apocalyptic number.

101955490560 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 101955490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235402083840).

101955490560 is an abundant number, since it is smaller than the sum of its proper divisors (368848677120).

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

101955490560 is an frugal number, since it uses more digits than its factorization.

101955490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 101955490560 in words is "one hundred one billion, nine hundred fifty-five million, four hundred ninety thousand, five hundred sixty".