102918240 has 72 divisors (see below), whose sum is σ = 351213408. Its totient is φ = 27444480.

The previous prime is 102918199. The next prime is 102918281. The reversal of 102918240 is 42819201.

It is an interprime number because it is at equal distance from previous prime (102918199) and next prime (102918281).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34296 + ... + 37175.

It is an arithmetic number, because the mean of its divisors is an integer number (4877964).

Almost surely, 2^102918240 is an apocalyptic number.

102918240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102918240 is an abundant number, since it is smaller than the sum of its proper divisors (248295168).

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

102918240 is a wasteful number, since it uses less digits than its factorization.

102918240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71492 (or 71481 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102918240 is about 10144.8627393376. The cubic root of 102918240 is about 468.6307515328.

The spelling of 102918240 in words is "one hundred two million, nine hundred eighteen thousand, two hundred forty".