107292906 has 48 divisors (see below), whose sum is σ = 268339968. Its totient is φ = 30348000.

The previous prime is 107292893. The next prime is 107292919. The reversal of 107292906 is 609292701.

It is an interprime number because it is at equal distance from previous prime (107292893) and next prime (107292919).

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 23 ways as a sum of consecutive naturals, for example, 8511 + ... + 16941.

It is an arithmetic number, because the mean of its divisors is an integer number (5590416).

Almost surely, 2^107292906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107292906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134169984).

107292906 is an abundant number, since it is smaller than the sum of its proper divisors (161047062).

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

107292906 is a wasteful number, since it uses less digits than its factorization.

107292906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8547 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 107292906 is about 10358.2289026648. The cubic root of 107292906 is about 475.1787412266.

The spelling of 107292906 in words is "one hundred seven million, two hundred ninety-two thousand, nine hundred six".