100416045 has 32 divisors (see below), whose sum is σ = 176486400. Its totient is φ = 48527424.

The previous prime is 100415993. The next prime is 100416047. The reversal of 100416045 is 540614001.

It is not a de Polignac number, because 100416045 - 2¹¹ = 100413997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100416047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105 + ... + 14214.

It is an arithmetic number, because the mean of its divisors is an integer number (5515200).

Almost surely, 2^100416045 is an apocalyptic number.

100416045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100416045 is a deficient number, since it is larger than the sum of its proper divisors (76070355).

100416045 is a wasteful number, since it uses less digits than its factorization.

100416045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15369.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 100416045 is about 10020.7806582122. The cubic root of 100416045 is about 464.8016959959.

The spelling of 100416045 in words is "one hundred million, four hundred sixteen thousand, forty-five".