105674400 has 216 divisors, whose sum is σ = 401653980. Its totient is φ = 25989120.

The previous prime is 105674389. The next prime is 105674423. The reversal of 105674400 is 4476501.

It can be written as a sum of positive squares in 6 ways, for example, as 4309776 + 101364624 = 2076^2 + 10068^2 .

It is a super-2 number, since 2×105674400² = 22334157630720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93036 + ... + 94164.

Almost surely, 2^105674400 is an apocalyptic number.

105674400 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 105674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200826990).

105674400 is an abundant number, since it is smaller than the sum of its proper divisors (295979580).

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

105674400 is a wasteful number, since it uses less digits than its factorization.

105674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105674400 is about 10279.8054456298. The cubic root of 105674400 is about 472.7772790923. Note that the first 3 decimals are identical.

The spelling of 105674400 in words is "one hundred five million, six hundred seventy-four thousand, four hundred".