100092213540 has 240 divisors, whose sum is σ = 342872538624. Its totient is φ = 24241075200.

The previous prime is 100092213517. The next prime is 100092213581. The reversal of 100092213540 is 45312290001.

100092213540 is a `hidden beast` number, since 10 + 0 + 0 + 92 + 21 + 3 + 540 = 666.

It is a super-2 number, since 2×100092213540² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24250957 + ... + 24255083.

Almost surely, 2^100092213540 is an apocalyptic number.

100092213540 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 100092213540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171436269312).

100092213540 is an abundant number, since it is smaller than the sum of its proper divisors (242780325084).

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

100092213540 is a wasteful number, since it uses less digits than its factorization.

100092213540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 100092213540 in words is "one hundred billion, ninety-two million, two hundred thirteen thousand, five hundred forty".