101789120 has 84 divisors (see below), whose sum is σ = 251213112. Its totient is φ = 39283200.

The previous prime is 101789119. The next prime is 101789123. The reversal of 101789120 is 21987101.

It is a super-2 number, since 2×101789120² = 20722049900748800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101789123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307355 + ... + 307685.

Almost surely, 2^101789120 is an apocalyptic number.

101789120 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 101789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125606556).

101789120 is an abundant number, since it is smaller than the sum of its proper divisors (149423992).

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

101789120 is an equidigital number, since it uses as much as digits as its factorization.

101789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 101789120 is about 10089.0594209768. The cubic root of 101789120 is about 466.9106569912.

The spelling of 101789120 in words is "one hundred one million, seven hundred eighty-nine thousand, one hundred twenty".