106899983150400 has 840 divisors, whose sum is σ = 429220859981760. Its totient is φ = 25881182208000.

The previous prime is 106899983150357. The next prime is 106899983150417. The reversal of 106899983150400 is 4051389998601.

106899983150400 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 9 + 9 + 98 + 31 + 504 + 0 + 0 = 666.

It is a super-2 number, since 2×106899983150400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1096237645 + ... + 1096335155.

It is an arithmetic number, because the mean of its divisors is an integer number (510977214264).

Almost surely, 2^{106899983150400} is an apocalyptic number.

106899983150400 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 106899983150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214610429990880).

106899983150400 is an abundant number, since it is smaller than the sum of its proper divisors (322320876831360).

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

106899983150400 is a wasteful number, since it uses less digits than its factorization.

106899983150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98325 (or 98301 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 106899983150400 in words is "one hundred six trillion, eight hundred ninety-nine billion, nine hundred eighty-three million, one hundred fifty thousand, four hundred".