102889740 has 48 divisors (see below), whose sum is σ = 290217312. Its totient is φ = 27234816.

The previous prime is 102889727. The next prime is 102889753. The reversal of 102889740 is 47988201.

It is an interprime number because it is at equal distance from previous prime (102889727) and next prime (102889753).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 1962 + ... + 14478.

It is an arithmetic number, because the mean of its divisors is an integer number (6046194).

Almost surely, 2^102889740 is an apocalyptic number.

102889740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102889740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145108656).

102889740 is an abundant number, since it is smaller than the sum of its proper divisors (187327572).

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

102889740 is a wasteful number, since it uses less digits than its factorization.

102889740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12666 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 102889740 is about 10143.4579902516. The cubic root of 102889740 is about 468.5874899773.

The spelling of 102889740 in words is "one hundred two million, eight hundred eighty-nine thousand, seven hundred forty".