102746520 has 96 divisors (see below), whose sum is σ = 348472800. Its totient is φ = 26205696.

The previous prime is 102746519. The next prime is 102746549. The reversal of 102746520 is 25647201.

102746520 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 4 + 652 + 0 = 666.

It is a super-2 number, since 2×102746520² = 21113694744220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2076 + ... + 14484.

It is an arithmetic number, because the mean of its divisors is an integer number (3629925).

Almost surely, 2^102746520 is an apocalyptic number.

102746520 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 102746520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174236400).

102746520 is an abundant number, since it is smaller than the sum of its proper divisors (245726280).

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

102746520 is a wasteful number, since it uses less digits than its factorization.

102746520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12449 (or 12442 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 102746520 is about 10136.3958091622. The cubic root of 102746520 is about 468.3699682451.

The spelling of 102746520 in words is "one hundred two million, seven hundred forty-six thousand, five hundred twenty".