101849920 has 28 divisors (see below), whose sum is σ = 242530884. Its totient is φ = 40739840.

The previous prime is 101849897. The next prime is 101849921. The reversal of 101849920 is 29948101.

It can be written as a sum of positive squares in 2 ways, for example, as 54405376 + 47444544 = 7376^2 + 6888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101849921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158821 + ... + 159460.

Almost surely, 2^101849920 is an apocalyptic number.

101849920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101849920 is an abundant number, since it is smaller than the sum of its proper divisors (140680964).

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

101849920 is an equidigital number, since it uses as much as digits as its factorization.

101849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318298 (or 318288 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 101849920 is about 10092.0721360878. The cubic root of 101849920 is about 467.0036024770.

The spelling of 101849920 in words is "one hundred one million, eight hundred forty-nine thousand, nine hundred twenty".