101957940 has 240 divisors, whose sum is σ = 376962432. Its totient is φ = 22674816.

The previous prime is 101957923. The next prime is 101957951. The reversal of 101957940 is 49759101.

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 = 101957895 and 101957904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2755602 + ... + 2755638.

Almost surely, 2^101957940 is an apocalyptic number.

101957940 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 101957940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188481216).

101957940 is an abundant number, since it is smaller than the sum of its proper divisors (275004492).

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

101957940 is an frugal number, since it uses more digits than its factorization.

101957940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

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

The square root of 101957940 is about 10097.4224433763. The cubic root of 101957940 is about 467.1686423897.

The spelling of 101957940 in words is "one hundred one million, nine hundred fifty-seven thousand, nine hundred forty".