107098656 has 96 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 30406656.

The previous prime is 107098643. The next prime is 107098669. The reversal of 107098656 is 656890701.

It is an interprime number because it is at equal distance from previous prime (107098643) and next prime (107098669).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107098656² = 22940244234012672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131980 + ... + 132788.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2^107098656 is an apocalyptic number.

107098656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107098656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

107098656 is an abundant number, since it is smaller than the sum of its proper divisors (216227424).

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

107098656 is a wasteful number, since it uses less digits than its factorization.

107098656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 107098656 is about 10348.8480518365. The cubic root of 107098656 is about 474.8918032420.

The spelling of 107098656 in words is "one hundred seven million, ninety-eight thousand, six hundred fifty-six".