101986990080 has 768 divisors, whose sum is σ = 366828134400. Its totient is φ = 24070717440.

The previous prime is 101986990037. The next prime is 101986990129. The reversal of 101986990080 is 80099689101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×101986990080² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 953149387 + ... + 953149493.

It is an arithmetic number, because the mean of its divisors is an integer number (477640800).

Almost surely, 2^101986990080 is an apocalyptic number.

101986990080 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 101986990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183414067200).

101986990080 is an abundant number, since it is smaller than the sum of its proper divisors (264841144320).

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

101986990080 is a wasteful number, since it uses less digits than its factorization.

101986990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 51.

The spelling of 101986990080 in words is "one hundred one billion, nine hundred eighty-six million, nine hundred ninety thousand, eighty".