61268100 has 72 divisors (see below), whose sum is σ = 178092768. Its totient is φ = 16262400.

The previous prime is 61268089. The next prime is 61268107. The reversal of 61268100 is 186216.

It is a super-2 number, since 2×61268100² = 7507560155220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61268107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98992 + ... + 99608.

Almost surely, 2^61268100 is an apocalyptic number.

61268100 is a gapful number since it is divisible by the number (60) 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 61268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89046384).

61268100 is an abundant number, since it is smaller than the sum of its proper divisors (116824668).

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

61268100 is a wasteful number, since it uses less digits than its factorization.

61268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 61268100 is about 7827.3942024150. The cubic root of 61268100 is about 394.2255830676.

The spelling of 61268100 in words is "sixty-one million, two hundred sixty-eight thousand, one hundred".