100461993 has 16 divisors (see below), whose sum is σ = 145664640. Its totient is φ = 61330176.

The previous prime is 100461971. The next prime is 100462001. The reversal of 100461993 is 399164001.

It is not a de Polignac number, because 100461993 - 2⁸ = 100461737 is a prime.

It is a super-2 number, since 2×100461993² = 20185224075064098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100461293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24733 + ... + 28506.

It is an arithmetic number, because the mean of its divisors is an integer number (9104040).

Almost surely, 2^100461993 is an apocalyptic number.

It is an amenable number.

100461993 is a deficient number, since it is larger than the sum of its proper divisors (45202647).

100461993 is a wasteful number, since it uses less digits than its factorization.

100461993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53296.

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 100461993 is about 10023.0730317603. The cubic root of 100461993 is about 464.8725792620.

The spelling of 100461993 in words is "one hundred million, four hundred sixty-one thousand, nine hundred ninety-three".