107490132 has 96 divisors (see below), whose sum is σ = 294201600. Its totient is φ = 33872256.

The previous prime is 107490121. The next prime is 107490137. The reversal of 107490132 is 231094701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107490096 and 107490105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107490137) 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, 270558 + ... + 270954.

It is an arithmetic number, because the mean of its divisors is an integer number (3064600).

Almost surely, 2^107490132 is an apocalyptic number.

107490132 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 107490132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147100800).

107490132 is an abundant number, since it is smaller than the sum of its proper divisors (186711468).

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

107490132 is a wasteful number, since it uses less digits than its factorization.

107490132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107490132 is about 10367.7447885256. The cubic root of 107490132 is about 475.4697211262.

The spelling of 107490132 in words is "one hundred seven million, four hundred ninety thousand, one hundred thirty-two".