102768890 has 32 divisors (see below), whose sum is σ = 212060160. Its totient is φ = 35126784.

The previous prime is 102768877. The next prime is 102768947. The reversal of 102768890 is 98867201.

It is a super-2 number, since 2×102768890² = 21122889503664200, which contains 22 as substring.

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, 22631 + ... + 26789.

It is an arithmetic number, because the mean of its divisors is an integer number (6626880).

Almost surely, 2^102768890 is an apocalyptic number.

102768890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102768890 is an abundant number, since it is smaller than the sum of its proper divisors (109291270).

102768890 is a wasteful number, since it uses less digits than its factorization.

102768890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526.

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 102768890 is about 10137.4991985203. The cubic root of 102768890 is about 468.4039569904.

The spelling of 102768890 in words is "one hundred two million, seven hundred sixty-eight thousand, eight hundred ninety".