100739231040 has 448 divisors, whose sum is σ = 397519087104. Its totient is φ = 21085028352.

The previous prime is 100739231009. The next prime is 100739231051. The reversal of 100739231040 is 40132937001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100739230989 and 100739231007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4214964 + ... + 4238796.

Almost surely, 2^100739231040 is an apocalyptic number.

100739231040 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 100739231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198759543552).

100739231040 is an abundant number, since it is smaller than the sum of its proper divisors (296779856064).

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

100739231040 is a wasteful number, since it uses less digits than its factorization.

100739231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23914 (or 23904 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 100739231040 in words is "one hundred billion, seven hundred thirty-nine million, two hundred thirty-one thousand, forty".