106529018400 has 864 divisors, whose sum is σ = 451090503360. Its totient is φ = 24192000000.

The previous prime is 106529018371. The next prime is 106529018489. The reversal of 106529018400 is 4810925601.

106529018400 is a `hidden beast` number, since 106 + 52 + 90 + 18 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×106529018400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 265658200 + ... + 265658600.

It is an arithmetic number, because the mean of its divisors is an integer number (522095490).

Almost surely, 2^106529018400 is an apocalyptic number.

106529018400 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 106529018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225545251680).

106529018400 is an abundant number, since it is smaller than the sum of its proper divisors (344561484960).

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

106529018400 is a wasteful number, since it uses less digits than its factorization.

106529018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 106529018400 in words is "one hundred six billion, five hundred twenty-nine million, eighteen thousand, four hundred".