101013732 has 36 divisors (see below), whose sum is σ = 256476220. Its totient is φ = 33521472.

The previous prime is 101013727. The next prime is 101013767. The reversal of 101013732 is 237310101.

It can be written as a sum of positive squares in 2 ways, for example, as 75064896 + 25948836 = 8664^2 + 5094^2 .

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 (18).

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 11 ways as a sum of consecutive naturals, for example, 2118 + ... + 14370.

Almost surely, 2^101013732 is an apocalyptic number.

101013732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101013732 is an abundant number, since it is smaller than the sum of its proper divisors (155462488).

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

101013732 is a wasteful number, since it uses less digits than its factorization.

101013732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12492 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 101013732 is about 10050.5587904355. The cubic root of 101013732 is about 465.7220554525.

Adding to 101013732 its reverse (237310101), we get a palindrome (338323833).

The spelling of 101013732 in words is "one hundred one million, thirteen thousand, seven hundred thirty-two".