106522890400 has 72 divisors (see below), whose sum is σ = 263711808864. Its totient is φ = 42009004800.

The previous prime is 106522890389. The next prime is 106522890407. The reversal of 106522890400 is 4098225601.

It is a super-2 number, since 2×106522890400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106522890400.

It is not an unprimeable number, because it can be changed into a prime (106522890407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880902 + ... + 994501.

It is an arithmetic number, because the mean of its divisors is an integer number (3662664012).

Almost surely, 2^106522890400 is an apocalyptic number.

106522890400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106522890400 is an abundant number, since it is smaller than the sum of its proper divisors (157188918464).

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

106522890400 is a wasteful number, since it uses less digits than its factorization.

106522890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875494 (or 1875481 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 106522890400 in words is "one hundred six billion, five hundred twenty-two million, eight hundred ninety thousand, four hundred".