101897920 has 28 divisors (see below), whose sum is σ = 242645184. Its totient is φ = 40759040.

The previous prime is 101897903. The next prime is 101897921. The reversal of 101897920 is 29798101.

It is a super-2 number, since 2×101897920² = 20766372200652800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 101897920.

It is not an unprimeable number, because it can be changed into a prime (101897921) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 158896 + ... + 159535.

Almost surely, 2^101897920 is an apocalyptic number.

101897920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101897920 is an abundant number, since it is smaller than the sum of its proper divisors (140747264).

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

101897920 is an equidigital number, since it uses as much as digits as its factorization.

101897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318448 (or 318438 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 37.

The square root of 101897920 is about 10094.4499602504. The cubic root of 101897920 is about 467.0769543670.

The spelling of 101897920 in words is "one hundred one million, eight hundred ninety-seven thousand, nine hundred twenty".