100072946 has 16 divisors (see below), whose sum is σ = 152041344. Its totient is φ = 49395744.

The previous prime is 100072919. The next prime is 100072949. The reversal of 100072946 is 649270001.

100072946 = T₄₂₀ + T₄₂₁ + ... + T₈₇₆.

It is a super-2 number, since 2×100072946² = 20029189042237832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100072949) 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, 93611 + ... + 94673.

It is an arithmetic number, because the mean of its divisors is an integer number (9502584).

Almost surely, 2^100072946 is an apocalyptic number.

100072946 is a deficient number, since it is larger than the sum of its proper divisors (51968398).

100072946 is a wasteful number, since it uses less digits than its factorization.

100072946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 100072946 is about 10003.6466351026. The cubic root of 100072946 is about 464.2717177094.

The spelling of 100072946 in words is "one hundred million, seventy-two thousand, nine hundred forty-six".