102506040 has 384 divisors, whose sum is σ = 430920000. Its totient is φ = 21482496.

The previous prime is 102505999. The next prime is 102506111. The reversal of 102506040 is 40605201.

It is a happy number.

102506040 is a `hidden beast` number, since 10 + 2 + 50 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687886 + ... + 688034.

Almost surely, 2^102506040 is an apocalyptic number.

102506040 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 102506040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215460000).

102506040 is an abundant number, since it is smaller than the sum of its proper divisors (328413960).

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

102506040 is a wasteful number, since it uses less digits than its factorization.

102506040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102506040 is about 10124.5266556022. The cubic root of 102506040 is about 468.0042734653.

It can be divided in two parts, 10250 and 6040, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 102506040 in words is "one hundred two million, five hundred six thousand, forty".