100364444040 has 768 divisors, whose sum is σ = 388862208000. Its totient is φ = 20565135360.

The previous prime is 100364444039. The next prime is 100364444057. The reversal of 100364444040 is 40444463001.

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 = 100364443989 and 100364444007.

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, 357168700 + ... + 357168980.

It is an arithmetic number, because the mean of its divisors is an integer number (506331000).

Almost surely, 2^100364444040 is an apocalyptic number.

100364444040 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 100364444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194431104000).

100364444040 is an abundant number, since it is smaller than the sum of its proper divisors (288497763960).

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

100364444040 is a wasteful number, since it uses less digits than its factorization.

100364444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 100364444040 in words is "one hundred billion, three hundred sixty-four million, four hundred forty-four thousand, forty".