100661535 has 48 divisors (see below), whose sum is σ = 194891424. Its totient is φ = 49548672.

The previous prime is 100661527. The next prime is 100661543. The reversal of 100661535 is 535166001.

It is a happy number.

100661535 is a `hidden beast` number, since 10 + 0 + 6 + 615 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (100661527) and next prime (100661543).

It is not a de Polignac number, because 100661535 - 2³ = 100661527 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100661499 and 100661508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12609 + ... + 18981.

It is an arithmetic number, because the mean of its divisors is an integer number (4060238).

Almost surely, 2^100661535 is an apocalyptic number.

100661535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100661535 is a deficient number, since it is larger than the sum of its proper divisors (94229889).

100661535 is an equidigital number, since it uses as much as digits as its factorization.

100661535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 100661535 is about 10033.0222266274. The cubic root of 100661535 is about 465.1801591185.

The spelling of 100661535 in words is "one hundred million, six hundred sixty-one thousand, five hundred thirty-five".