102766140 has 72 divisors (see below), whose sum is σ = 322489440. Its totient is φ = 26457984.

The previous prime is 102766133. The next prime is 102766163. The reversal of 102766140 is 41667201.

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, 4624 + ... + 15063.

It is an arithmetic number, because the mean of its divisors is an integer number (4479020).

Almost surely, 2^102766140 is an apocalyptic number.

102766140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102766140 is an abundant number, since it is smaller than the sum of its proper divisors (219723300).

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

102766140 is a wasteful number, since it uses less digits than its factorization.

102766140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19731 (or 19726 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102766140 is about 10137.3635625837. The cubic root of 102766140 is about 468.3997789349.

The spelling of 102766140 in words is "one hundred two million, seven hundred sixty-six thousand, one hundred forty".