107286948 has 18 divisors (see below), whose sum is σ = 271197654. Its totient is φ = 35762304.

The previous prime is 107286943. The next prime is 107286953. The reversal of 107286948 is 849682701.

It is an interprime number because it is at equal distance from previous prime (107286943) and next prime (107286953).

It can be written as a sum of positive squares in only one way, i.e., 63489024 + 43797924 = 7968^2 + 6618^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×107286948² = 23020978422309408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107286943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1490061 + ... + 1490132.

Almost surely, 2^107286948 is an apocalyptic number.

107286948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107286948 is an abundant number, since it is smaller than the sum of its proper divisors (163910706).

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

107286948 is a wasteful number, since it uses less digits than its factorization.

107286948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980203 (or 2980198 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 107286948 is about 10357.9413012432. The cubic root of 107286948 is about 475.1699454685.

The spelling of 107286948 in words is "one hundred seven million, two hundred eighty-six thousand, nine hundred forty-eight".