61106400 has 360 divisors, whose sum is σ = 238203504. Its totient is φ = 15206400.

The previous prime is 61106399. The next prime is 61106401. The reversal of 61106400 is 460116.

It is an interprime number because it is at equal distance from previous prime (61106399) and next prime (61106401).

It is a tau number, because it is divible by the number of its divisors (360).

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 (61106401) 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 59 ways as a sum of consecutive naturals, for example, 1490380 + ... + 1490420.

Almost surely, 2^61106400 is an apocalyptic number.

61106400 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 61106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119101752).

61106400 is an abundant number, since it is smaller than the sum of its proper divisors (177097104).

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

61106400 is a wasteful number, since it uses less digits than its factorization.

61106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61106400 is about 7817.0582702190. The cubic root of 61106400 is about 393.8784614861.

Adding to 61106400 its reverse (460116), we get a palindrome (61566516).

The spelling of 61106400 in words is "sixty-one million, one hundred six thousand, four hundred".