101900832 has 48 divisors (see below), whose sum is σ = 291809952. Its totient is φ = 30878720.

The previous prime is 101900807. The next prime is 101900861. The reversal of 101900832 is 238009101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47193 + ... + 49304.

It is an arithmetic number, because the mean of its divisors is an integer number (6079374).

Almost surely, 2^101900832 is an apocalyptic number.

101900832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101900832 is an abundant number, since it is smaller than the sum of its proper divisors (189909120).

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

101900832 is a wasteful number, since it uses less digits than its factorization.

101900832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96521 (or 96513 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 101900832 is about 10094.5941968957. The cubic root of 101900832 is about 467.0814036405.

Adding to 101900832 its reverse (238009101), we get a palindrome (339909933).

The spelling of 101900832 in words is "one hundred one million, nine hundred thousand, eight hundred thirty-two".