102420045 has 120 divisors (see below), whose sum is σ = 230580504. Its totient is φ = 43110144.

The previous prime is 102419987. The next prime is 102420061. The reversal of 102420045 is 540024201.

It can be written as a sum of positive squares in 4 ways, for example, as 4588164 + 97831881 = 2142^2 + 9891^2 .

It is not a de Polignac number, because 102420045 - 2⁶ = 102419981 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 257787 + ... + 258183.

Almost surely, 2^102420045 is an apocalyptic number.

102420045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102420045 is an abundant number, since it is smaller than the sum of its proper divisors (128160459).

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

102420045 is a wasteful number, since it uses less digits than its factorization.

102420045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 102420045 is about 10120.2788993189. The cubic root of 102420045 is about 467.8733631721.

Adding to 102420045 its reverse (540024201), we get a palindrome (642444246).

The spelling of 102420045 in words is "one hundred two million, four hundred twenty thousand, forty-five".