107146540 has 48 divisors (see below), whose sum is σ = 237726720. Its totient is φ = 40501440.

The previous prime is 107146531. The next prime is 107146579. The reversal of 107146540 is 45641701.

It is a super-2 number, since 2×107146540² = 22960762067943200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107146499 and 107146508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24651 + ... + 28669.

It is an arithmetic number, because the mean of its divisors is an integer number (4952640).

Almost surely, 2^107146540 is an apocalyptic number.

107146540 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 107146540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118863360).

107146540 is an abundant number, since it is smaller than the sum of its proper divisors (130580180).

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

107146540 is a wasteful number, since it uses less digits than its factorization.

107146540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 107146540 is about 10351.1612875078. The cubic root of 107146540 is about 474.9625676873.

The spelling of 107146540 in words is "one hundred seven million, one hundred forty-six thousand, five hundred forty".