51102900 has 126 divisors (see below), whose sum is σ = 166501062. Its totient is φ = 13608000.

The previous prime is 51102893. The next prime is 51102907. The reversal of 51102900 is 920115.

It is an interprime number because it is at equal distance from previous prime (51102893) and next prime (51102907).

It can be written as a sum of positive squares in 3 ways, for example, as 9809424 + 41293476 = 3132^2 + 6426^2 .

It is a super-2 number, since 2×51102900² = 5223012776820000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51102907) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 72550 + ... + 73250.

It is an arithmetic number, because the mean of its divisors is an integer number (1321437).

Almost surely, 2^51102900 is an apocalyptic number.

51102900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51102900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83250531).

51102900 is an abundant number, since it is smaller than the sum of its proper divisors (115398162).

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

51102900 is a wasteful number, since it uses less digits than its factorization.

51102900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 51102900 is about 7148.6292392318. The cubic root of 51102900 is about 371.0922194544.

The spelling of 51102900 in words is "fifty-one million, one hundred two thousand, nine hundred".