100292940 has 144 divisors (see below), whose sum is σ = 341097120. Its totient is φ = 23656320.

The previous prime is 100292923. The next prime is 100292947. The reversal of 100292940 is 49292001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100292947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2710602 + ... + 2710638.

It is an arithmetic number, because the mean of its divisors is an integer number (2368730).

Almost surely, 2^100292940 is an apocalyptic number.

100292940 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 100292940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170548560).

100292940 is an abundant number, since it is smaller than the sum of its proper divisors (240804180).

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

100292940 is a wasteful number, since it uses less digits than its factorization.

100292940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100292940 is about 10014.6362889523. The cubic root of 100292940 is about 464.6116771882.

The spelling of 100292940 in words is "one hundred million, two hundred ninety-two thousand, nine hundred forty".