1035415104 has 112 divisors (see below), whose sum is σ = 2936370048. Its totient is φ = 321159168.

The previous prime is 1035415079. The next prime is 1035415111. The reversal of 1035415104 is 4015145301.

It is a happy number.

It is a super-3 number, since 3×1035415104³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 160224 + ... + 166560.

Almost surely, 2^1035415104 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 1035415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468185024).

1035415104 is an abundant number, since it is smaller than the sum of its proper divisors (1900954944).

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

1035415104 is a wasteful number, since it uses less digits than its factorization.

1035415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1035415104 is about 32177.8666788213. The cubic root of 1035415104 is about 1011.6683546164.

The spelling of 1035415104 in words is "one billion, thirty-five million, four hundred fifteen thousand, one hundred four".