101558983680 has 2112 divisors, whose sum is σ = 483891148800. Its totient is φ = 19941949440.

The previous prime is 101558983661. The next prime is 101558983681. The reversal of 101558983680 is 86389855101.

101558983680 is a `hidden beast` number, since 1 + 0 + 1 + 558 + 9 + 8 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×101558983680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101558983681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2160829417 + ... + 2160829463.

Almost surely, 2^101558983680 is an apocalyptic number.

101558983680 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 101558983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241945574400).

101558983680 is an abundant number, since it is smaller than the sum of its proper divisors (382332165120).

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

101558983680 is a wasteful number, since it uses less digits than its factorization.

101558983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 101558983680 in words is "one hundred one billion, five hundred fifty-eight million, nine hundred eighty-three thousand, six hundred eighty".