101345920 has 96 divisors (see below), whose sum is σ = 262630620. Its totient is φ = 37380096.

The previous prime is 101345917. The next prime is 101345927. The reversal of 101345920 is 29543101.

It can be written as a sum of positive squares in 6 ways, for example, as 222784 + 101123136 = 472^2 + 10056^2 .

It is not an unprimeable number, because it can be changed into a prime (101345927) 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, 107692 + ... + 108628.

Almost surely, 2^101345920 is an apocalyptic number.

101345920 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 101345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131315310).

101345920 is an abundant number, since it is smaller than the sum of its proper divisors (161284700).

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

101345920 is an equidigital number, since it uses as much as digits as its factorization.

101345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 101345920 is about 10067.0710735546. The cubic root of 101345920 is about 466.2320125216.

The spelling of 101345920 in words is "one hundred one million, three hundred forty-five thousand, nine hundred twenty".