105276400 has 30 divisors (see below), whose sum is σ = 252927512. Its totient is φ = 42110400.

The previous prime is 105276377. The next prime is 105276401. The reversal of 105276400 is 4672501.

It is a super-2 number, since 2×105276400² = 22166240793920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105276401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131196 + ... + 131995.

Almost surely, 2^105276400 is an apocalyptic number.

105276400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105276400 is an abundant number, since it is smaller than the sum of its proper divisors (147651112).

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

105276400 is a wasteful number, since it uses less digits than its factorization.

105276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263209 (or 263198 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 105276400 is about 10260.4288409403. The cubic root of 105276400 is about 472.1829942552.

The spelling of 105276400 in words is "one hundred five million, two hundred seventy-six thousand, four hundred".