101002440 has 256 divisors, whose sum is σ = 400619520. Its totient is φ = 19722240.

The previous prime is 101002439. The next prime is 101002459. The reversal of 101002440 is 44200101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156759 + ... + 157401.

It is an arithmetic number, because the mean of its divisors is an integer number (1564920).

Almost surely, 2^101002440 is an apocalyptic number.

101002440 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 101002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200309760).

101002440 is an abundant number, since it is smaller than the sum of its proper divisors (299617080).

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

101002440 is a wasteful number, since it uses less digits than its factorization.

101002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101002440 is about 10049.9970149249. The cubic root of 101002440 is about 465.7047009493.

Adding to 101002440 its reverse (44200101), we get a palindrome (145202541).

The spelling of 101002440 in words is "one hundred one million, two thousand, four hundred forty".