101623920 has 80 divisors (see below), whose sum is σ = 318170112. Its totient is φ = 26830080.

The previous prime is 101623919. The next prime is 101623937. The reversal of 101623920 is 29326101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×101623920² = 20654842232332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22665 + ... + 26775.

Almost surely, 2^101623920 is an apocalyptic number.

101623920 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 101623920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159085056).

101623920 is an abundant number, since it is smaller than the sum of its proper divisors (216546192).

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

101623920 is a wasteful number, since it uses less digits than its factorization.

101623920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 101623920 is about 10080.8690101598. The cubic root of 101623920 is about 466.6579272740.

Subtracting from 101623920 its sum of digits (24), we obtain a triangular number (101623896 = T₁₄₂₅₆).

The spelling of 101623920 in words is "one hundred one million, six hundred twenty-three thousand, nine hundred twenty".