102968490 has 64 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 25574400.

The previous prime is 102968479. The next prime is 102968491. The reversal of 102968490 is 94869201.

102968490 = T₈₇ + T₈₈ + ... + T₈₅₁.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102968491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50511 + ... + 52509.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2^102968490 is an apocalyptic number.

102968490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102968490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

102968490 is an abundant number, since it is smaller than the sum of its proper divisors (161415510).

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

102968490 is a wasteful number, since it uses less digits than its factorization.

102968490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127.

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

The square root of 102968490 is about 10147.3390600689. The cubic root of 102968490 is about 468.7070090350.

The spelling of 102968490 in words is "one hundred two million, nine hundred sixty-eight thousand, four hundred ninety".