101918820 has 24 divisors (see below), whose sum is σ = 285372864. Its totient is φ = 27178336.

The previous prime is 101918807. The next prime is 101918827. The reversal of 101918820 is 28819101.

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

It is not an unprimeable number, because it can be changed into a prime (101918827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849264 + ... + 849383.

It is an arithmetic number, because the mean of its divisors is an integer number (11890536).

Almost surely, 2^101918820 is an apocalyptic number.

101918820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101918820 is an abundant number, since it is smaller than the sum of its proper divisors (183454044).

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

101918820 is a wasteful number, since it uses less digits than its factorization.

101918820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698659 (or 1698657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 101918820 is about 10095.4851295022. The cubic root of 101918820 is about 467.1088858039.

The spelling of 101918820 in words is "one hundred one million, nine hundred eighteen thousand, eight hundred twenty".