105772300 has 36 divisors (see below), whose sum is σ = 243031320. Its totient is φ = 39819520.

The previous prime is 105772291. The next prime is 105772319. The reversal of 105772300 is 3277501.

It is a super-2 number, since 2×105772300² = 22375558894580000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29410 + ... + 32809.

It is an arithmetic number, because the mean of its divisors is an integer number (6750870).

Almost surely, 2^105772300 is an apocalyptic number.

105772300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105772300 is an abundant number, since it is smaller than the sum of its proper divisors (137259020).

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

105772300 is a wasteful number, since it uses less digits than its factorization.

105772300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62250 (or 62243 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 105772300 is about 10284.5661065501. The cubic root of 105772300 is about 472.9232324791.

The spelling of 105772300 in words is "one hundred five million, seven hundred seventy-two thousand, three hundred".