107052948 has 96 divisors (see below), whose sum is σ = 294174720. Its totient is φ = 33596640.

The previous prime is 107052943. The next prime is 107052989. The reversal of 107052948 is 849250701.

It is a super-2 number, since 2×107052948² = 22920667350981408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107052941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176061 + ... + 176667.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 2^107052948 is an apocalyptic number.

107052948 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 107052948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

107052948 is an abundant number, since it is smaller than the sum of its proper divisors (187121772).

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

107052948 is a wasteful number, since it uses less digits than its factorization.

107052948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 107052948 is about 10346.6394544316. The cubic root of 107052948 is about 474.8242348770.

The spelling of 107052948 in words is "one hundred seven million, fifty-two thousand, nine hundred forty-eight".