103742964 has 96 divisors (see below), whose sum is σ = 304976000. Its totient is φ = 30233088.

The previous prime is 103742963. The next prime is 103742971. The reversal of 103742964 is 469247301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103742963) 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, 24732 + ... + 28620.

Almost surely, 2^103742964 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 103742964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152488000).

103742964 is an abundant number, since it is smaller than the sum of its proper divisors (201233036).

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

103742964 is a wasteful number, since it uses less digits than its factorization.

103742964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 103742964 is about 10185.4290042197. The cubic root of 103742964 is about 469.8791963557.

The spelling of 103742964 in words is "one hundred three million, seven hundred forty-two thousand, nine hundred sixty-four".