101833680 has 160 divisors (see below), whose sum is σ = 343977984. Its totient is φ = 24772608.

The previous prime is 101833661. The next prime is 101833733. The reversal of 101833680 is 86338101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 396112 + ... + 396368.

Almost surely, 2^101833680 is an apocalyptic number.

101833680 is a gapful number since it is divisible by the number (10) 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 101833680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171988992).

101833680 is an abundant number, since it is smaller than the sum of its proper divisors (242144304).

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

101833680 is a wasteful number, since it uses less digits than its factorization.

101833680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 101833680 is about 10091.2675120621. The cubic root of 101833680 is about 466.9787798699.

The spelling of 101833680 in words is "one hundred one million, eight hundred thirty-three thousand, six hundred eighty".