107693472 has 96 divisors (see below), whose sum is σ = 296110080. Its totient is φ = 34227200.

The previous prime is 107693461. The next prime is 107693477. The reversal of 107693472 is 274396701.

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

It is a super-2 number, since 2×107693472² = 23195767822829568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107693472.

It is not an unprimeable number, because it can be changed into a prime (107693477) 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, 280993 + ... + 281375.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^107693472 is an apocalyptic number.

107693472 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 107693472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

107693472 is an abundant number, since it is smaller than the sum of its proper divisors (188416608).

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

107693472 is a wasteful number, since it uses less digits than its factorization.

107693472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 107693472 is about 10377.5465308521. The cubic root of 107693472 is about 475.7693489790.

It can be divided in two parts, 10769 and 3472, that added together give a palindrome (14241).

The spelling of 107693472 in words is "one hundred seven million, six hundred ninety-three thousand, four hundred seventy-two".