102540816 has 200 divisors, whose sum is σ = 345692160. Its totient is φ = 28740096.

The previous prime is 102540803. The next prime is 102540829. The reversal of 102540816 is 618045201.

102540816 is a `hidden beast` number, since 102 + 540 + 8 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (102540803) and next prime (102540829).

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

It is a self number, because there is not a number n which added to its sum of digits gives 102540816.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 807345 + ... + 807471.

Almost surely, 2^102540816 is an apocalyptic number.

102540816 is a gapful number since it is divisible by the number (16) 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 102540816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846080).

102540816 is an abundant number, since it is smaller than the sum of its proper divisors (243151344).

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

102540816 is a wasteful number, since it uses less digits than its factorization.

102540816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 102540816 is about 10126.2439235879. The cubic root of 102540816 is about 468.0571922216.

The spelling of 102540816 in words is "one hundred two million, five hundred forty thousand, eight hundred sixteen".