107001312 has 96 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 30712320.

The previous prime is 107001311. The next prime is 107001317. The reversal of 107001312 is 213100701.

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

It is a super-2 number, since 2×107001312² = 22898561539442688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107001291 and 107001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107001311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17398 + ... + 22730.

It is an arithmetic number, because the mean of its divisors is an integer number (3360420).

Almost surely, 2^107001312 is an apocalyptic number.

107001312 is a gapful number since it is divisible by the number (12) 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 107001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

107001312 is an abundant number, since it is smaller than the sum of its proper divisors (215599008).

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

107001312 is a wasteful number, since it uses less digits than its factorization.

107001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5376 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 107001312 is about 10344.1438505079. The cubic root of 107001312 is about 474.7478802390.

The spelling of 107001312 in words is "one hundred seven million, one thousand, three hundred twelve".