101038932 has 36 divisors (see below), whose sum is σ = 257109216. Its totient is φ = 33454800.

The previous prime is 101038909. The next prime is 101038933. The reversal of 101038932 is 239830101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101038896 and 101038905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101038933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3858 + ... + 14729.

Almost surely, 2^101038932 is an apocalyptic number.

101038932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101038932 is an abundant number, since it is smaller than the sum of its proper divisors (156070284).

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

101038932 is a wasteful number, since it uses less digits than its factorization.

101038932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18748 (or 18743 counting only the distinct ones).

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

The square root of 101038932 is about 10051.8123738956. The cubic root of 101038932 is about 465.7607802864.

The spelling of 101038932 in words is "one hundred one million, thirty-eight thousand, nine hundred thirty-two".