100540832040 has 384 divisors, whose sum is σ = 374376038400. Its totient is φ = 24062987520.

The previous prime is 100540832009. The next prime is 100540832059. The reversal of 100540832040 is 40238045001.

100540832040 is a `hidden beast` number, since 1 + 0 + 0 + 540 + 83 + 2 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100540831995 and 100540832013.

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, 8440729 + ... + 8452631.

It is an arithmetic number, because the mean of its divisors is an integer number (974937600).

Almost surely, 2^100540832040 is an apocalyptic number.

100540832040 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 100540832040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187188019200).

100540832040 is an abundant number, since it is smaller than the sum of its proper divisors (273835206360).

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

100540832040 is a wasteful number, since it uses less digits than its factorization.

100540832040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12019 (or 12003 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 100540832040 its reverse (40238045001), we get a palindrome (140778877041).

The spelling of 100540832040 in words is "one hundred billion, five hundred forty million, eight hundred thirty-two thousand, forty".