103040964 has 96 divisors (see below), whose sum is σ = 291648000. Its totient is φ = 31269888.

The previous prime is 103040923. The next prime is 103040981. The reversal of 103040964 is 469040301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 110452 + ... + 111380.

It is an arithmetic number, because the mean of its divisors is an integer number (3038000).

Almost surely, 2^103040964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103040964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824000).

103040964 is an abundant number, since it is smaller than the sum of its proper divisors (188607036).

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

103040964 is a wasteful number, since it uses less digits than its factorization.

103040964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 103040964 is about 10150.9095159005. The cubic root of 103040964 is about 468.8169491575.

It can be divided in two parts, 10304096 and 4, that added together give a square (10304100 = 3210²).

The spelling of 103040964 in words is "one hundred three million, forty thousand, nine hundred sixty-four".