101461320 has 48 divisors (see below), whose sum is σ = 329750460. Its totient is φ = 27056256.

The previous prime is 101461319. The next prime is 101461333. The reversal of 101461320 is 23164101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 90212004 + 11249316 = 9498^2 + 3354^2 .

It is a super-2 number, since 2×101461320² = 20588798912284800, 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 = 101461293 and 101461302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140559 + ... + 141278.

Almost surely, 2^101461320 is an apocalyptic number.

101461320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101461320 is an abundant number, since it is smaller than the sum of its proper divisors (228289140).

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

101461320 is a wasteful number, since it uses less digits than its factorization.

101461320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281854 (or 281847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101461320 is about 10072.8010007147. The cubic root of 101461320 is about 466.4089075419.

The spelling of 101461320 in words is "one hundred one million, four hundred sixty-one thousand, three hundred twenty".