107265540 has 96 divisors (see below), whose sum is σ = 308972160. Its totient is φ = 27795456.

The previous prime is 107265533. The next prime is 107265569. The reversal of 107265540 is 45562701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 107265498 and 107265507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555684 + ... + 555876.

It is an arithmetic number, because the mean of its divisors is an integer number (3218460).

Almost surely, 2^107265540 is an apocalyptic number.

107265540 is a gapful number since it is divisible by the number (10) 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 107265540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154486080).

107265540 is an abundant number, since it is smaller than the sum of its proper divisors (201706620).

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

107265540 is a wasteful number, since it uses less digits than its factorization.

107265540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 107265540 is about 10356.9078396981. The cubic root of 107265540 is about 475.1383382847.

The spelling of 107265540 in words is "one hundred seven million, two hundred sixty-five thousand, five hundred forty".