100093645 has 16 divisors (see below), whose sum is σ = 126120960. Its totient is φ = 76152384.

The previous prime is 100093639. The next prime is 100093657. The reversal of 100093645 is 546390001.

100093645 = 437² + 438² + ... + 726².

It is a cyclic number.

It is not a de Polignac number, because 100093645 - 2⁵ = 100093613 is a prime.

It is a super-3 number, since 3×100093645³ (a number of 25 digits) contains 333 as substring.

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, 4564 + ... + 14866.

It is an arithmetic number, because the mean of its divisors is an integer number (7882560).

Almost surely, 2^100093645 is an apocalyptic number.

It is an amenable number.

100093645 is a deficient number, since it is larger than the sum of its proper divisors (26027315).

100093645 is a wasteful number, since it uses less digits than its factorization.

100093645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10404.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 100093645 is about 10004.6811543397. The cubic root of 100093645 is about 464.3037253537.

The spelling of 100093645 in words is "one hundred million, ninety-three thousand, six hundred forty-five".