100584962420072 has 64 divisors (see below), whose sum is σ = 207760857413760. Its totient is φ = 45366441120000.

The previous prime is 100584962420053. The next prime is 100584962420077. The reversal of 100584962420072 is 270024269485001.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100584962420072.

It is not an unprimeable number, because it can be changed into a prime (100584962420077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34967804 + ... + 37734827.

It is an arithmetic number, because the mean of its divisors is an integer number (3246263397090).

Almost surely, 2^{100584962420072} is an apocalyptic number.

It is an amenable number.

100584962420072 is an abundant number, since it is smaller than the sum of its proper divisors (107175894993688).

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

100584962420072 is a wasteful number, since it uses less digits than its factorization.

100584962420072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72702954 (or 72702950 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 100584962420072 in words is "one hundred trillion, five hundred eighty-four billion, nine hundred sixty-two million, four hundred twenty thousand, seventy-two".