101579940 has 288 divisors, whose sum is σ = 402192000. Its totient is φ = 21047040.

The previous prime is 101579927. The next prime is 101579941. The reversal of 101579940 is 49975101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101579895 and 101579904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101579941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290886 + ... + 291234.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 2^101579940 is an apocalyptic number.

101579940 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 101579940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096000).

101579940 is an abundant number, since it is smaller than the sum of its proper divisors (300612060).

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

101579940 is a wasteful number, since it uses less digits than its factorization.

101579940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 101579940 is about 10078.6874145397. The cubic root of 101579940 is about 466.5905987125.

The spelling of 101579940 in words is "one hundred one million, five hundred seventy-nine thousand, nine hundred forty".