106313753 has 16 divisors (see below), whose sum is σ = 131099136. Its totient is φ = 83954880.

The previous prime is 106313749. The next prime is 106313777. The reversal of 106313753 is 357313601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106313753 - 2² = 106313749 is a prime.

It is a super-2 number, since 2×106313753² = 22605228153890018, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106313743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74000 + ... + 75422.

It is an arithmetic number, because the mean of its divisors is an integer number (8193696).

Almost surely, 2^106313753 is an apocalyptic number.

106313753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106313753 is a deficient number, since it is larger than the sum of its proper divisors (24785383).

106313753 is a wasteful number, since it uses less digits than its factorization.

106313753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264.

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 106313753 is about 10310.8560750308. The cubic root of 106313753 is about 473.7288309336.

The spelling of 106313753 in words is "one hundred six million, three hundred thirteen thousand, seven hundred fifty-three".