101249440 has 48 divisors (see below), whose sum is σ = 247461480. Its totient is φ = 39101440.

The previous prime is 101249431. The next prime is 101249443. The reversal of 101249440 is 44942101.

It can be written as a sum of positive squares in 4 ways, for example, as 85599504 + 15649936 = 9252^2 + 3956^2 .

It is not an unprimeable number, because it can be changed into a prime (101249443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6271 + ... + 15550.

Almost surely, 2^101249440 is an apocalyptic number.

101249440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101249440 is an abundant number, since it is smaller than the sum of its proper divisors (146212040).

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

101249440 is a wasteful number, since it uses less digits than its factorization.

101249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21865 (or 21857 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 101249440 is about 10062.2780720869. The cubic root of 101249440 is about 466.0840166074.

The spelling of 101249440 in words is "one hundred one million, two hundred forty-nine thousand, four hundred forty".