100093266540 has 480 divisors, whose sum is σ = 342047059200. Its totient is φ = 24416017920.

The previous prime is 100093266529. The next prime is 100093266563. The reversal of 100093266540 is 45662390001.

It is a happy number.

100093266540 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 93 + 26 + 6 + 540 = 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 = 100093266495 and 100093266504.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 203855695 + ... + 203856185.

It is an arithmetic number, because the mean of its divisors is an integer number (712598040).

Almost surely, 2^100093266540 is an apocalyptic number.

100093266540 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 100093266540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171023529600).

100093266540 is an abundant number, since it is smaller than the sum of its proper divisors (241953792660).

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

100093266540 is a wasteful number, since it uses less digits than its factorization.

100093266540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 100093266540 in words is "one hundred billion, ninety-three million, two hundred sixty-six thousand, five hundred forty".