100253192940 has 288 divisors, whose sum is σ = 323352207360. Its totient is φ = 26064654336.

The previous prime is 100253192939. The next prime is 100253192951. The reversal of 100253192940 is 49291352001.

100253192940 is a `hidden beast` number, since 100 + 253 + 19 + 294 + 0 = 666.

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 = 100253192895 and 100253192904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36414604 + ... + 36417356.

It is an arithmetic number, because the mean of its divisors is an integer number (1122750720).

Almost surely, 2^100253192940 is an apocalyptic number.

100253192940 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 100253192940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161676103680).

100253192940 is an abundant number, since it is smaller than the sum of its proper divisors (223099014420).

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

100253192940 is a wasteful number, since it uses less digits than its factorization.

100253192940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 100253192940 in words is "one hundred billion, two hundred fifty-three million, one hundred ninety-two thousand, nine hundred forty".