106507310 has 32 divisors (see below), whose sum is σ = 235956672. Its totient is φ = 33707520.

The previous prime is 106507307. The next prime is 106507337. The reversal of 106507310 is 13705601.

106507310 = T₄₄₄ + T₄₄₅ + ... + T₈₉₈.

It is a super-2 number, since 2×106507310² = 22687614166872200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57611 + ... + 59430.

It is an arithmetic number, because the mean of its divisors is an integer number (7373646).

Almost surely, 2^106507310 is an apocalyptic number.

106507310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106507310 is an abundant number, since it is smaller than the sum of its proper divisors (129449362).

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

106507310 is a wasteful number, since it uses less digits than its factorization.

106507310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117068.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 106507310 is about 10320.2378848552. The cubic root of 106507310 is about 474.0161501141.

The spelling of 106507310 in words is "one hundred six million, five hundred seven thousand, three hundred ten".