10100540305332 has 72 divisors (see below), whose sum is σ = 25552594310880. Its totient is φ = 3364121661120.

The previous prime is 10100540305321. The next prime is 10100540305411. The reversal of 10100540305332 is 23350304500101.

10100540305332 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 540 + 30 + 53 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10100540305296 and 10100540305305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284432394 + ... + 284467902.

Almost surely, 2^{10100540305332} is an apocalyptic number.

10100540305332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100540305332 is an abundant number, since it is smaller than the sum of its proper divisors (15452054005548).

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

10100540305332 is a wasteful number, since it uses less digits than its factorization.

10100540305332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41693 (or 41688 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10100540305332 its reverse (23350304500101), we get a palindrome (33450844805433).

The spelling of 10100540305332 in words is "ten trillion, one hundred billion, five hundred forty million, three hundred five thousand, three hundred thirty-two".