61532100 has 108 divisors (see below), whose sum is σ = 220444224. Its totient is φ = 14063040.

The previous prime is 61532087. The next prime is 61532101. The reversal of 61532100 is 123516.

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

It is not an unprimeable number, because it can be changed into a prime (61532101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1417 + ... + 11183.

Almost surely, 2^61532100 is an apocalyptic number.

61532100 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 61532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110222112).

61532100 is an abundant number, since it is smaller than the sum of its proper divisors (158912124).

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

61532100 is a wasteful number, since it uses less digits than its factorization.

61532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9794 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 61532100 is about 7844.2399249386. The cubic root of 61532100 is about 394.7910019722.

Adding to 61532100 its reverse (123516), we get a palindrome (61655616).

The spelling of 61532100 in words is "sixty-one million, five hundred thirty-two thousand, one hundred".