100522115040 has 384 divisors, whose sum is σ = 333407975040. Its totient is φ = 25429966848.

The previous prime is 100522115017. The next prime is 100522115069. The reversal of 100522115040 is 40511225001.

It is a super-2 number, since 2×100522115040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100522114998 and 100522115016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253204122 + ... + 253204518.

It is an arithmetic number, because the mean of its divisors is an integer number (868249935).

Almost surely, 2^100522115040 is an apocalyptic number.

100522115040 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 100522115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166703987520).

100522115040 is an abundant number, since it is smaller than the sum of its proper divisors (232885860000).

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

100522115040 is a wasteful number, since it uses less digits than its factorization.

100522115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 100522115040 in words is "one hundred billion, five hundred twenty-two million, one hundred fifteen thousand, forty".