103086096 has 160 divisors (see below), whose sum is σ = 304444800. Its totient is φ = 29859840.

The previous prime is 103086091. The next prime is 103086101. The reversal of 103086096 is 690680301.

It is an interprime number because it is at equal distance from previous prime (103086091) and next prime (103086101).

It is not an unprimeable number, because it can be changed into a prime (103086091) 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, 945690 + ... + 945798.

It is an arithmetic number, because the mean of its divisors is an integer number (1902780).

Almost surely, 2^103086096 is an apocalyptic number.

103086096 is a gapful number since it is divisible by the number (16) 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 103086096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152222400).

103086096 is an abundant number, since it is smaller than the sum of its proper divisors (201358704).

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

103086096 is a wasteful number, since it uses less digits than its factorization.

103086096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 103086096 is about 10153.1323245588. The cubic root of 103086096 is about 468.8853865288.

The spelling of 103086096 in words is "one hundred three million, eighty-six thousand, ninety-six".