106274310 has 64 divisors (see below), whose sum is σ = 271724544. Its totient is φ = 26508800.

The previous prime is 106274309. The next prime is 106274317. The reversal of 106274310 is 13472601.

It is a super-2 number, since 2×106274310² = 22588457931952200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106274317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 96865 + ... + 97955.

It is an arithmetic number, because the mean of its divisors is an integer number (4245696).

Almost surely, 2^106274310 is an apocalyptic number.

106274310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106274310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

106274310 is an abundant number, since it is smaller than the sum of its proper divisors (165450234).

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

106274310 is a wasteful number, since it uses less digits than its factorization.

106274310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 106274310 is about 10308.9432048101. The cubic root of 106274310 is about 473.6702383338.

The spelling of 106274310 in words is "one hundred six million, two hundred seventy-four thousand, three hundred ten".