106610400 has 432 divisors, whose sum is σ = 435065904. Its totient is φ = 24330240.

The previous prime is 106610381. The next prime is 106610407. The reversal of 106610400 is 4016601.

106610400 is a `hidden beast` number, since 1 + 0 + 661 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×106610400² = 22731554776320000, 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 not an unprimeable number, because it can be changed into a prime (106610407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1591167 + ... + 1591233.

It is an arithmetic number, because the mean of its divisors is an integer number (1007097).

Almost surely, 2^106610400 is an apocalyptic number.

106610400 is a gapful number since it is divisible by the number (10) 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 106610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217532952).

106610400 is an abundant number, since it is smaller than the sum of its proper divisors (328455504).

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

106610400 is a wasteful number, since it uses less digits than its factorization.

106610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

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

The square root of 106610400 is about 10325.2312322776. The cubic root of 106610400 is about 474.1690365443.

The spelling of 106610400 in words is "one hundred six million, six hundred ten thousand, four hundred".