106115400 has 192 divisors, whose sum is σ = 374827200. Its totient is φ = 27578880.

The previous prime is 106115369. The next prime is 106115461. The reversal of 106115400 is 4511601.

106115400 is a `hidden beast` number, since 1 + 0 + 611 + 54 + 0 + 0 = 666.

It is a super-2 number, since 2×106115400² = 22520956234320000, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 231972 + ... + 232428.

It is an arithmetic number, because the mean of its divisors is an integer number (1952225).

Almost surely, 2^106115400 is an apocalyptic number.

106115400 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 106115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187413600).

106115400 is an abundant number, since it is smaller than the sum of its proper divisors (268711800).

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

106115400 is a wasteful number, since it uses less digits than its factorization.

106115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106115400 is about 10301.2329359160. The cubic root of 106115400 is about 473.4340304618.

It can be divided in two parts, 1061 and 15400, that added together give a palindrome (16461).

The spelling of 106115400 in words is "one hundred six million, one hundred fifteen thousand, four hundred".