106311507732 has 18 divisors (see below), whose sum is σ = 268731866858. Its totient is φ = 35437169232.

The previous prime is 106311507727. The next prime is 106311507763. The reversal of 106311507732 is 237705113601.

106311507732 is a `hidden beast` number, since 1 + 0 + 631 + 15 + 0 + 7 + 7 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57309487236 + 49002020496 = 239394^2 + 221364^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×106311507732³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2953097437 = 106311507732 / (1 + 0 + 6 + 3 + 1 + 1 + 5 + 0 + 7 + 7 + 3 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1476548683 + ... + 1476548754.

Almost surely, 2^106311507732 is an apocalyptic number.

106311507732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106311507732 is an abundant number, since it is smaller than the sum of its proper divisors (162420359126).

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

106311507732 is a wasteful number, since it uses less digits than its factorization.

106311507732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953097447 (or 2953097442 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 106311507732 in words is "one hundred six billion, three hundred eleven million, five hundred seven thousand, seven hundred thirty-two".