100803464064 has 128 divisors (see below), whose sum is σ = 301276992000. Its totient is φ = 33175733760.

The previous prime is 100803464053. The next prime is 100803464077. The reversal of 100803464064 is 460464308001.

100803464064 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 0 + 3 + 4 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×100803464064² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88419 + ... + 457629.

It is an arithmetic number, because the mean of its divisors is an integer number (2353726500).

Almost surely, 2^100803464064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100803464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150638496000).

100803464064 is an abundant number, since it is smaller than the sum of its proper divisors (200473527936).

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

100803464064 is an equidigital number, since it uses as much as digits as its factorization.

100803464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369313 (or 369295 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 100803464064 in words is "one hundred billion, eight hundred three million, four hundred sixty-four thousand, sixty-four".