101814120 has 96 divisors (see below), whose sum is σ = 332415720. Its totient is φ = 27025920.

The previous prime is 101814109. The next prime is 101814143. The reversal of 101814120 is 21418101.

It can be written as a sum of positive squares in 4 ways, for example, as 69255684 + 32558436 = 8322^2 + 5706^2 .

It is a super-2 number, since 2×101814120² = 20732230062748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101814093 and 101814102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99210 + ... + 100230.

Almost surely, 2^101814120 is an apocalyptic number.

101814120 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 101814120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166207860).

101814120 is an abundant number, since it is smaller than the sum of its proper divisors (230601600).

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

101814120 is a wasteful number, since it uses less digits than its factorization.

101814120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 101814120 is about 10090.2983107538. The cubic root of 101814120 is about 466.9488791867.

The spelling of 101814120 in words is "one hundred one million, eight hundred fourteen thousand, one hundred twenty".