61073100 has 216 divisors, whose sum is σ = 216652800. Its totient is φ = 14256000.

The previous prime is 61073081. The next prime is 61073147. The reversal of 61073100 is 137016.

It is a super-2 number, since 2×61073100² = 7459847087220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 306801 + ... + 306999.

Almost surely, 2^61073100 is an apocalyptic number.

61073100 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 61073100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108326400).

61073100 is an abundant number, since it is smaller than the sum of its proper divisors (155579700).

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

61073100 is a wasteful number, since it uses less digits than its factorization.

61073100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 61073100 is about 7814.9280227012. The cubic root of 61073100 is about 393.8069003182.

The spelling of 61073100 in words is "sixty-one million, seventy-three thousand, one hundred".