107021376 has 336 divisors, whose sum is σ = 405749760. Its totient is φ = 26127360.

The previous prime is 107021371. The next prime is 107021437. The reversal of 107021376 is 673120701.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×107021376² = 22907149841866752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107021371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842625 + ... + 842751.

Almost surely, 2^107021376 is an apocalyptic number.

107021376 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 107021376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202874880).

107021376 is an abundant number, since it is smaller than the sum of its proper divisors (298728384).

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

107021376 is a wasteful number, since it uses less digits than its factorization.

107021376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 107021376 is about 10345.1136291488. The cubic root of 107021376 is about 474.7775519816. Note that the first 3 decimals are identical.

The spelling of 107021376 in words is "one hundred seven million, twenty-one thousand, three hundred seventy-six".