61084100 has 72 divisors (see below), whose sum is σ = 165281088. Its totient is φ = 19036800.

The previous prime is 61084081. The next prime is 61084109. The reversal of 61084100 is 148016.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (61084109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3734 + ... + 11666.

Almost surely, 2^61084100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61084100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82640544).

61084100 is an abundant number, since it is smaller than the sum of its proper divisors (104196988).

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

61084100 is a wasteful number, since it uses less digits than its factorization.

61084100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7965 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 61084100 is about 7815.6317722881. The cubic root of 61084100 is about 393.8305420189.

The spelling of 61084100 in words is "sixty-one million, eighty-four thousand, one hundred".