106953795 has 48 divisors (see below), whose sum is σ = 208353600. Its totient is φ = 50358528.

The previous prime is 106953773. The next prime is 106953797. The reversal of 106953795 is 597359601.

106953795 is a `hidden beast` number, since 106 + 9 + 537 + 9 + 5 = 666.

It is not a de Polignac number, because 106953795 - 2⁷ = 106953667 is a prime.

It is a super-2 number, since 2×106953795² = 22878228529804050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106953795.

It is not an unprimeable number, because it can be changed into a prime (106953797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9481 + ... + 17429.

It is an arithmetic number, because the mean of its divisors is an integer number (4340700).

Almost surely, 2^106953795 is an apocalyptic number.

106953795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106953795 is a deficient number, since it is larger than the sum of its proper divisors (101399805).

106953795 is a wasteful number, since it uses less digits than its factorization.

106953795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 7993 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 106953795 is about 10341.8467886543. The cubic root of 106953795 is about 474.6775946986.

The spelling of 106953795 in words is "one hundred six million, nine hundred fifty-three thousand, seven hundred ninety-five".