1020042345 has 64 divisors (see below), whose sum is σ = 1922088960. Its totient is φ = 452245248.

The previous prime is 1020042337. The next prime is 1020042349. The reversal of 1020042345 is 5432400201.

It is not a de Polignac number, because 1020042345 - 2³ = 1020042337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1020042349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 708136 + ... + 709574.

It is an arithmetic number, because the mean of its divisors is an integer number (30032640).

Almost surely, 2^1020042345 is an apocalyptic number.

1020042345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020042345 is a deficient number, since it is larger than the sum of its proper divisors (902046615).

1020042345 is a wasteful number, since it uses less digits than its factorization.

1020042345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1020042345 is about 31938.1017751525. The cubic root of 1020042345 is about 1006.6366392493.

Adding to 1020042345 its reverse (5432400201), we get a palindrome (6452442546).

The spelling of 1020042345 in words is "one billion, twenty million, forty-two thousand, three hundred forty-five".