100461153 has 32 divisors (see below), whose sum is σ = 147813120. Its totient is φ = 60318720.

The previous prime is 100461139. The next prime is 100461161. The reversal of 100461153 is 351164001.

It is not a de Polignac number, because 100461153 - 2⁶ = 100461089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100461353) 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, 357373 + ... + 357653.

It is an arithmetic number, because the mean of its divisors is an integer number (4619160).

Almost surely, 2^100461153 is an apocalyptic number.

100461153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100461153 is a deficient number, since it is larger than the sum of its proper divisors (47351967).

100461153 is a wasteful number, since it uses less digits than its factorization.

100461153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 100461153 is about 10023.0311283563. The cubic root of 100461153 is about 464.8712836010.

The spelling of 100461153 in words is "one hundred million, four hundred sixty-one thousand, one hundred fifty-three".