106853937400 has 72 divisors (see below), whose sum is σ = 288996313320. Its totient is φ = 36635632320.

The previous prime is 106853937383. The next prime is 106853937419. The reversal of 106853937400 is 4739358601.

It is a super-2 number, since 2×106853937400² (a number of 23 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 17 ways as a sum of consecutive naturals, for example, 5441932 + ... + 5461531.

It is an arithmetic number, because the mean of its divisors is an integer number (4013837685).

Almost surely, 2^106853937400 is an apocalyptic number.

106853937400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106853937400 is an abundant number, since it is smaller than the sum of its proper divisors (182142375920).

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

106853937400 is a wasteful number, since it uses less digits than its factorization.

106853937400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10903493 (or 10903477 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 106853937400 in words is "one hundred six billion, eight hundred fifty-three million, nine hundred thirty-seven thousand, four hundred".