102946890 has 32 divisors (see below), whose sum is σ = 247568256. Its totient is φ = 27397440.

The previous prime is 102946889. The next prime is 102946891. The reversal of 102946890 is 98649201.

It is an interprime number because it is at equal distance from previous prime (102946889) and next prime (102946891).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102946891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13059 + ... + 19401.

It is an arithmetic number, because the mean of its divisors is an integer number (7736508).

Almost surely, 2^102946890 is an apocalyptic number.

102946890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102946890 is an abundant number, since it is smaller than the sum of its proper divisors (144621366).

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

102946890 is a wasteful number, since it uses less digits than its factorization.

102946890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 102946890 is about 10146.2746858145. The cubic root of 102946890 is about 468.6742327317.

The spelling of 102946890 in words is "one hundred two million, nine hundred forty-six thousand, eight hundred ninety".