101606286132 has 54 divisors (see below), whose sum is σ = 278114658822. Its totient is φ = 31263470784.

The previous prime is 101606286121. The next prime is 101606286139. The reversal of 101606286132 is 231682606101.

It is a happy number.

101606286132 is a `hidden beast` number, since 1 + 0 + 16 + 0 + 6 + 28 + 613 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3064286736 + 98541999396 = 55356^2 + 313914^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101606286139) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8344203 + ... + 8356370.

Almost surely, 2^101606286132 is an apocalyptic number.

101606286132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101606286132 is an abundant number, since it is smaller than the sum of its proper divisors (176508372690).

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

101606286132 is a wasteful number, since it uses less digits than its factorization.

101606286132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16700609 (or 16700591 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 101606286132 in words is "one hundred one billion, six hundred six million, two hundred eighty-six thousand, one hundred thirty-two".