100351052064 has 96 divisors (see below), whose sum is σ = 293253670080. Its totient is φ = 33385996800.

The previous prime is 100351052057. The next prime is 100351052093. The reversal of 100351052064 is 460250153001.

100351052064 is a `hidden beast` number, since 100 + 35 + 1 + 0 + 520 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338679 + ... + 561609.

It is an arithmetic number, because the mean of its divisors is an integer number (3054725730).

Almost surely, 2^100351052064 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 100351052064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146626835040).

100351052064 is an abundant number, since it is smaller than the sum of its proper divisors (192902618016).

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

100351052064 is a wasteful number, since it uses less digits than its factorization.

100351052064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223471 (or 223457 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 100351052064 in words is "one hundred billion, three hundred fifty-one million, fifty-two thousand, sixty-four".