105735150 has 36 divisors (see below), whose sum is σ = 284076312. Its totient is φ = 28195920.

The previous prime is 105735137. The next prime is 105735173. The reversal of 105735150 is 51537501.

It is a super-2 number, since 2×105735150² = 22359843891045000, which 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, 117034 + ... + 117933.

Almost surely, 2^105735150 is an apocalyptic number.

105735150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105735150 is an abundant number, since it is smaller than the sum of its proper divisors (178341162).

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

105735150 is a wasteful number, since it uses less digits than its factorization.

105735150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234985 (or 234977 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 105735150 is about 10282.7598435440. The cubic root of 105735150 is about 472.8678583235.

The spelling of 105735150 in words is "one hundred five million, seven hundred thirty-five thousand, one hundred fifty".