101677483980 has 144 divisors (see below), whose sum is σ = 320987276064. Its totient is φ = 27017141760.

The previous prime is 101677483951. The next prime is 101677484003. The reversal of 101677483980 is 89384776101.

101677483980 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 77 + 483 + 98 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328434 + ... + 1402886.

It is an arithmetic number, because the mean of its divisors is an integer number (2229078306).

Almost surely, 2^101677483980 is an apocalyptic number.

101677483980 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 101677483980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160493638032).

101677483980 is an abundant number, since it is smaller than the sum of its proper divisors (219309792084).

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

101677483980 is a wasteful number, since it uses less digits than its factorization.

101677483980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74758 (or 74744 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 101677483980 in words is "one hundred one billion, six hundred seventy-seven million, four hundred eighty-three thousand, nine hundred eighty".