100010605540 has 48 divisors (see below), whose sum is σ = 211784170752. Its totient is φ = 39669276416.

The previous prime is 100010605523. The next prime is 100010605567. The reversal of 100010605540 is 45506010001.

It is a super-3 number, since 3×100010605540³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2575509 + ... + 2614051.

It is an arithmetic number, because the mean of its divisors is an integer number (4412170224).

Almost surely, 2^100010605540 is an apocalyptic number.

100010605540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010605540 is an abundant number, since it is smaller than the sum of its proper divisors (111773565212).

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

100010605540 is a wasteful number, since it uses less digits than its factorization.

100010605540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39636 (or 39634 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 100010605540 its reverse (45506010001), we get a palindrome (145516615541).

The spelling of 100010605540 in words is "one hundred billion, ten million, six hundred five thousand, five hundred forty".