101505996 has 36 divisors (see below), whose sum is σ = 262846584. Its totient is φ = 33009600.

The previous prime is 101505991. The next prime is 101506007. The reversal of 101505996 is 699505101.

101505996 is a `hidden beast` number, since 10 + 1 + 50 + 599 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101505996.

It is not an unprimeable number, because it can be changed into a prime (101505991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32910 + ... + 35861.

It is an arithmetic number, because the mean of its divisors is an integer number (7301294).

Almost surely, 2^101505996 is an apocalyptic number.

It is an amenable number.

101505996 is an abundant number, since it is smaller than the sum of its proper divisors (161340588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101505996 is a wasteful number, since it uses less digits than its factorization.

101505996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68822 (or 68817 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 101505996 is about 10075.0184118938. The cubic root of 101505996 is about 466.4773547318.

The spelling of 101505996 in words is "one hundred one million, five hundred five thousand, nine hundred ninety-six".