101496132 has 48 divisors (see below), whose sum is σ = 265070400. Its totient is φ = 33583680.

The previous prime is 101496091. The next prime is 101496151. The reversal of 101496132 is 231694101.

101496132 is a `hidden beast` number, since 1 + 0 + 1 + 49 + 613 + 2 = 666.

101496132 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101496132² = 20602929621922848, which contains 22 as substring.

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

101496132 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 101496096 and 101496105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11632 + ... + 18392.

It is an arithmetic number, because the mean of its divisors is an integer number (5522300).

Almost surely, 2^101496132 is an apocalyptic number.

101496132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101496132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132535200).

101496132 is an abundant number, since it is smaller than the sum of its proper divisors (163574268).

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

101496132 is a wasteful number, since it uses less digits than its factorization.

101496132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6905 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101496132 is about 10074.5288723592. The cubic root of 101496132 is about 466.4622440261.

The spelling of 101496132 in words is "one hundred one million, four hundred ninety-six thousand, one hundred thirty-two".