100866155040 has 576 divisors, whose sum is σ = 415689563520. Its totient is φ = 22773381120.

The previous prime is 100866155017. The next prime is 100866155051. The reversal of 100866155040 is 40551668001.

100866155040 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 6 + 61 + 550 + 40 = 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 = 100866154986 and 100866155004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17566570 + ... + 17572310.

It is an arithmetic number, because the mean of its divisors is an integer number (721683270).

Almost surely, 2^100866155040 is an apocalyptic number.

100866155040 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 100866155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207844781760).

100866155040 is an abundant number, since it is smaller than the sum of its proper divisors (314823408480).

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

100866155040 is a wasteful number, since it uses less digits than its factorization.

100866155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 100866155040 in words is "one hundred billion, eight hundred sixty-six million, one hundred fifty-five thousand, forty".