102759240 has 64 divisors (see below), whose sum is σ = 312903360. Its totient is φ = 26991360.

The previous prime is 102759233. The next prime is 102759257. The reversal of 102759240 is 42957201.

It is a super-2 number, since 2×102759240² = 21118922810755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 102759198 and 102759207.

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, 1650 + ... + 14430.

It is an arithmetic number, because the mean of its divisors is an integer number (4889115).

Almost surely, 2^102759240 is an apocalyptic number.

102759240 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 102759240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156451680).

102759240 is an abundant number, since it is smaller than the sum of its proper divisors (210144120).

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

102759240 is a wasteful number, since it uses less digits than its factorization.

102759240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12862 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 102759240 is about 10137.0232316987. The cubic root of 102759240 is about 468.3892954858.

The spelling of 102759240 in words is "one hundred two million, seven hundred fifty-nine thousand, two hundred forty".