101972461680 has 320 divisors, whose sum is σ = 360923328000. Its totient is φ = 26783716608.

The previous prime is 101972461667. The next prime is 101972461687. The reversal of 101972461680 is 86164279101.

101972461680 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 7 + 24 + 616 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101972461687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11717971 + ... + 11726669.

It is an arithmetic number, because the mean of its divisors is an integer number (1127885400).

Almost surely, 2^101972461680 is an apocalyptic number.

101972461680 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 101972461680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180461664000).

101972461680 is an abundant number, since it is smaller than the sum of its proper divisors (258950866320).

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

101972461680 is an frugal number, since it uses more digits than its factorization.

101972461680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8800 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 101972461680 in words is "one hundred one billion, nine hundred seventy-two million, four hundred sixty-one thousand, six hundred eighty".