100309037472 has 384 divisors, whose sum is σ = 354931476480. Its totient is φ = 26905374720.

The previous prime is 100309037467. The next prime is 100309037503. The reversal of 100309037472 is 274730903001.

100309037472 is a `hidden beast` number, since 100 + 30 + 90 + 374 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 50481663 + ... + 50483649.

It is an arithmetic number, because the mean of its divisors is an integer number (924300720).

Almost surely, 2^100309037472 is an apocalyptic number.

100309037472 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 100309037472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177465738240).

100309037472 is an abundant number, since it is smaller than the sum of its proper divisors (254622439008).

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

100309037472 is a wasteful number, since it uses less digits than its factorization.

100309037472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 100309037472 in words is "one hundred billion, three hundred nine million, thirty-seven thousand, four hundred seventy-two".