105954135 has 32 divisors (see below), whose sum is σ = 196649472. Its totient is φ = 47710080.

The previous prime is 105954131. The next prime is 105954137. The reversal of 105954135 is 531459501.

It is not a de Polignac number, because 105954135 - 2² = 105954131 is a prime.

It is a super-2 number, since 2×105954135² = 22452557447196450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105954096 and 105954105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105954131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496 + ... + 14565.

It is an arithmetic number, because the mean of its divisors is an integer number (6145296).

Almost surely, 2^105954135 is an apocalyptic number.

105954135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105954135 is a deficient number, since it is larger than the sum of its proper divisors (90695337).

105954135 is a wasteful number, since it uses less digits than its factorization.

105954135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15143.

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 105954135 is about 10293.4024986882. The cubic root of 105954135 is about 473.1940808488.

The spelling of 105954135 in words is "one hundred five million, nine hundred fifty-four thousand, one hundred thirty-five".