107949888 has 112 divisors (see below), whose sum is σ = 320040000. Its totient is φ = 35679744.

The previous prime is 107949859. The next prime is 107949889. The reversal of 107949888 is 888949701.

107949888 is a `hidden beast` number, since 1 + 0 + 79 + 498 + 88 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107949889) 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, 309138 + ... + 309486.

It is an arithmetic number, because the mean of its divisors is an integer number (2857500).

Almost surely, 2^107949888 is an apocalyptic number.

107949888 is a gapful number since it is divisible by the number (18) 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 107949888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160020000).

107949888 is an abundant number, since it is smaller than the sum of its proper divisors (212090112).

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

107949888 is a wasteful number, since it uses less digits than its factorization.

107949888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 107949888 is about 10389.8935509465. The cubic root of 107949888 is about 476.1466487867.

The spelling of 107949888 in words is "one hundred seven million, nine hundred forty-nine thousand, eight hundred eighty-eight".