100073064 has 64 divisors (see below), whose sum is σ = 307923840. Its totient is φ = 26392320.

The previous prime is 100073059. The next prime is 100073089. The reversal of 100073064 is 460370001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100073064.

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, 20727 + ... + 25094.

It is an arithmetic number, because the mean of its divisors is an integer number (4811310).

Almost surely, 2^100073064 is an apocalyptic number.

100073064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100073064 is an abundant number, since it is smaller than the sum of its proper divisors (207850776).

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

100073064 is a wasteful number, since it uses less digits than its factorization.

100073064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45850 (or 45846 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 100073064 is about 10003.6525329502. The cubic root of 100073064 is about 464.2719001897.

The spelling of 100073064 in words is "one hundred million, seventy-three thousand, sixty-four".