102606760 has 32 divisors (see below), whose sum is σ = 231920640. Its totient is φ = 40855104.

The previous prime is 102606743. The next prime is 102606761. The reversal of 102606760 is 67606201.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (102606761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3169 + ... + 14671.

It is an arithmetic number, because the mean of its divisors is an integer number (7247520).

Almost surely, 2^102606760 is an apocalyptic number.

102606760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102606760 is an abundant number, since it is smaller than the sum of its proper divisors (129313880).

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

102606760 is a wasteful number, since it uses less digits than its factorization.

102606760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11737 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 102606760 is about 10129.4994940520. The cubic root of 102606760 is about 468.1575065825.

It can be divided in two parts, 10260 and 6760, that added together give a triangular number (17020 = T₁₈₄).

The spelling of 102606760 in words is "one hundred two million, six hundred six thousand, seven hundred sixty".