107478672 has 120 divisors (see below), whose sum is σ = 326746944. Its totient is φ = 29820672.

The previous prime is 107478667. The next prime is 107478689. The reversal of 107478672 is 276874701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621178 + ... + 621350.

Almost surely, 2^107478672 is an apocalyptic number.

107478672 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 107478672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163373472).

107478672 is an abundant number, since it is smaller than the sum of its proper divisors (219268272).

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

107478672 is a wasteful number, since it uses less digits than its factorization.

107478672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 107478672 is about 10367.1920981527. The cubic root of 107478672 is about 475.4528232133.

The spelling of 107478672 in words is "one hundred seven million, four hundred seventy-eight thousand, six hundred seventy-two".