109435256100 has 81 divisors (see below), whose sum is σ = 343049840497. Its totient is φ = 29180088480.

The previous prime is 109435256093. The next prime is 109435256101. The reversal of 109435256100 is 1652534901.

The square root of 109435256100 is 330810.

It is a perfect power (a square), and thus also a powerful number.

109435256100 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 35 + 2 + 5 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39396692196 + 70038563904 = 198486^2 + 264648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109435256101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9918787 + ... + 9929813.

Almost surely, 2^109435256100 is an apocalyptic number.

109435256100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109435256100 is the 330810-th square number.

It is an amenable number.

109435256100 is an abundant number, since it is smaller than the sum of its proper divisors (233614584397).

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

109435256100 is an equidigital number, since it uses as much as digits as its factorization.

109435256100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22074 (or 11037 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 109435256100 by its sum of digits (36), we get a square (3939669219600 = 1984860²).

109435256100 divided by its sum of digits (36) gives a square (3039868225 = 55135²).

The spelling of 109435256100 in words is "one hundred nine billion, four hundred thirty-five million, two hundred fifty-six thousand, one hundred".