105694783400 has 96 divisors (see below), whose sum is σ = 261117483840. Its totient is φ = 39650012160.

The previous prime is 105694783351. The next prime is 105694783459. The reversal of 105694783400 is 4387496501.

It is a super-2 number, since 2×105694783400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 907277 + ... + 1017123.

It is an arithmetic number, because the mean of its divisors is an integer number (2719973790).

Almost surely, 2^105694783400 is an apocalyptic number.

105694783400 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 105694783400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130558741920).

105694783400 is an abundant number, since it is smaller than the sum of its proper divisors (155422700440).

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

105694783400 is a wasteful number, since it uses less digits than its factorization.

105694783400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110163 (or 110154 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 105694783400 in words is "one hundred five billion, six hundred ninety-four million, seven hundred eighty-three thousand, four hundred".