101523420 has 72 divisors (see below), whose sum is σ = 309197616. Its totient is φ = 26963712.

The previous prime is 101523391. The next prime is 101523427. The reversal of 101523420 is 24325101.

101523420 is a `hidden beast` number, since 101 + 523 + 42 + 0 = 666.

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 = 101523393 and 101523402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101523427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49944 + ... + 51936.

Almost surely, 2^101523420 is an apocalyptic number.

101523420 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 101523420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154598808).

101523420 is an abundant number, since it is smaller than the sum of its proper divisors (207674196).

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

101523420 is a wasteful number, since it uses less digits than its factorization.

101523420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101523420 is about 10075.8830878489. The cubic root of 101523420 is about 466.5040442435.

Adding to 101523420 its reverse (24325101), we get a palindrome (125848521).

The spelling of 101523420 in words is "one hundred one million, five hundred twenty-three thousand, four hundred twenty".