100989628740 has 576 divisors, whose sum is σ = 426557214720. Its totient is φ = 19369704960.

The previous prime is 100989628711. The next prime is 100989628769. The reversal of 100989628740 is 47826989001.

100989628740 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 8 + 9 + 628 + 7 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100989628711) and next prime (100989628769).

It is a super-2 number, since 2×100989628740² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4854481 + ... + 4875239.

It is an arithmetic number, because the mean of its divisors is an integer number (740550720).

Almost surely, 2^100989628740 is an apocalyptic number.

100989628740 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 100989628740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213278607360).

100989628740 is an abundant number, since it is smaller than the sum of its proper divisors (325567585980).

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

100989628740 is a wasteful number, since it uses less digits than its factorization.

100989628740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20814 (or 20800 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 100989628740 in words is "one hundred billion, nine hundred eighty-nine million, six hundred twenty-eight thousand, seven hundred forty".