100891669632 has 384 divisors, whose sum is σ = 310452912000. Its totient is φ = 28914941952.

The previous prime is 100891669621. The next prime is 100891669673. The reversal of 100891669632 is 236966198001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×100891669632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120251869 + ... + 120252707.

It is an arithmetic number, because the mean of its divisors is an integer number (808471125).

Almost surely, 2^100891669632 is an apocalyptic number.

100891669632 is a gapful number since it is divisible by the number (12) 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 100891669632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155226456000).

100891669632 is an abundant number, since it is smaller than the sum of its proper divisors (209561242368).

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

100891669632 is a wasteful number, since it uses less digits than its factorization.

100891669632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 100891669632 in words is "one hundred billion, eight hundred ninety-one million, six hundred sixty-nine thousand, six hundred thirty-two".