100456644764080 has 40 divisors (see below), whose sum is σ = 254794580812944. Its totient is φ = 36529689004800.

The previous prime is 100456644764051. The next prime is 100456644764081. The reversal of 100456644764080 is 80467446654001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (100456644764081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57077638191 + ... + 57077639950.

Almost surely, 2^{100456644764080} is an apocalyptic number.

100456644764080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100456644764080 is an abundant number, since it is smaller than the sum of its proper divisors (154337936048864).

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

100456644764080 is a wasteful number, since it uses less digits than its factorization.

100456644764080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114155278165 (or 114155278159 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 100456644764080 in words is "one hundred trillion, four hundred fifty-six billion, six hundred forty-four million, seven hundred sixty-four thousand, eighty".