106312626 has 48 divisors (see below), whose sum is σ = 264648384. Its totient is φ = 30213792.

The previous prime is 106312603. The next prime is 106312639. The reversal of 106312626 is 626213601.

106312626 is a `hidden beast` number, since 1 + 0 + 6 + 31 + 2 + 626 = 666.

It is a super-2 number, since 2×106312626² = 22604748894031752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106312626.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22681 + ... + 26963.

It is an arithmetic number, because the mean of its divisors is an integer number (5513508).

Almost surely, 2^106312626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106312626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132324192).

106312626 is an abundant number, since it is smaller than the sum of its proper divisors (158335758).

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

106312626 is a wasteful number, since it uses less digits than its factorization.

106312626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106312626 is about 10310.8014237498. The cubic root of 106312626 is about 473.7271569755.

It can be divided in two parts, 1063 and 12626, that added together give a square (13689 = 117²).

The spelling of 106312626 in words is "one hundred six million, three hundred twelve thousand, six hundred twenty-six".