2135364100 has 27 divisors (see below), whose sum is σ = 4634743071. Its totient is φ = 853960800.

The previous prime is 2135364097. The next prime is 2135364131. The reversal of 2135364100 is 14635312.

The square root of 2135364100 is 46210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 152621316 + 1982742784 = 12354^2 + 44528^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 459790 + ... + 464410.

Almost surely, 2^2135364100 is an apocalyptic number.

2135364100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2135364100 is the 46210-th square number.

It is an amenable number.

2135364100 is an abundant number, since it is smaller than the sum of its proper divisors (2499378971).

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

2135364100 is an frugal number, since it uses more digits than its factorization.

2135364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9256 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The cubic root of 2135364100 is about 1287.7275256927.

Multiplying 2135364100 by its sum of digits (25), we get a square (53384102500 = 231050²).

2135364100 divided by its sum of digits (25) gives a square (85414564 = 9242²).

Adding to 2135364100 its reverse (14635312), we get a palindrome (2149999412).

The spelling of 2135364100 in words is "two billion, one hundred thirty-five million, three hundred sixty-four thousand, one hundred".