102768990 has 32 divisors (see below), whose sum is σ = 247911840. Its totient is φ = 27264384.

The previous prime is 102768989. The next prime is 102768997. The reversal of 102768990 is 99867201.

It is a super-2 number, since 2×102768990² = 21122930611240200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102768997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2785 + ... + 14604.

It is an arithmetic number, because the mean of its divisors is an integer number (7747245).

Almost surely, 2^102768990 is an apocalyptic number.

102768990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102768990 is an abundant number, since it is smaller than the sum of its proper divisors (145142850).

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

102768990 is a wasteful number, since it uses less digits than its factorization.

102768990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17596.

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 102768990 is about 10137.5041307020. The cubic root of 102768990 is about 468.4041089183.

The spelling of 102768990 in words is "one hundred two million, seven hundred sixty-eight thousand, nine hundred ninety".