107222976 has 252 divisors, whose sum is σ = 372663720. Its totient is φ = 29352960.

The previous prime is 107222971. The next prime is 107222977. The reversal of 107222976 is 679222701.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×107222976² = 22993533164593152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 107222976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107222971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 818431 + ... + 818561.

Almost surely, 2^107222976 is an apocalyptic number.

107222976 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 107222976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186331860).

107222976 is an abundant number, since it is smaller than the sum of its proper divisors (265440744).

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

107222976 is a wasteful number, since it uses less digits than its factorization.

107222976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 107222976 is about 10354.8527753899. The cubic root of 107222976 is about 475.0754834796.

The spelling of 107222976 in words is "one hundred seven million, two hundred twenty-two thousand, nine hundred seventy-six".