107463972 has 144 divisors (see below), whose sum is σ = 321157760. Its totient is φ = 27371520.

The previous prime is 107463931. The next prime is 107463977. The reversal of 107463972 is 279364701.

It is a self number, because there is not a number n which added to its sum of digits gives 107463972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107463977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985854 + ... + 985962.

Almost surely, 2^107463972 is an apocalyptic number.

107463972 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 107463972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160578880).

107463972 is an abundant number, since it is smaller than the sum of its proper divisors (213693788).

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

107463972 is a wasteful number, since it uses less digits than its factorization.

107463972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

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

The square root of 107463972 is about 10366.4831066278. The cubic root of 107463972 is about 475.4311461214.

The spelling of 107463972 in words is "one hundred seven million, four hundred sixty-three thousand, nine hundred seventy-two".