| Base | Representation |
|---|---|
| bin | 1100101010001… |
| … | …10110110110000 |
| 3 | 21101211100002000 |
| 4 | 12111012312300 |
| 5 | 204141241100 |
| 6 | 14312054000 |
| 7 | 2426440332 |
| oct | 625066660 |
| 9 | 241740060 |
| 10 | 106196400 |
| 11 | 54a43a22 |
| 12 | 2b694300 |
| 13 | 1900300b |
| 14 | 10165452 |
| 15 | 94ca900 |
| hex | 6546db0 |
106196400 has 120 divisors (see below), whose sum is σ = 378018960. Its totient is φ = 28316160.
The previous prime is 106196381. The next prime is 106196413. The reversal of 106196400 is 4691601.
106196400 is a `hidden beast` number, since 1 + 0 + 6 + 19 + 640 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×1061964002 = 22555350745920000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5884 + ... + 15716.
It is an arithmetic number, because the mean of its divisors is an integer number (3150158).
Almost surely, 2106196400 is an apocalyptic number.
106196400 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 106196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189009480).
106196400 is an abundant number, since it is smaller than the sum of its proper divisors (271822560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106196400 is a wasteful number, since it uses less digits than its factorization.
106196400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9860 (or 9843 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 27.
The square root of 106196400 is about 10305.1637541574. The cubic root of 106196400 is about 473.5544603689.
It can be divided in two parts, 1061 and 96400, that added together give a triangular number (97461 = T441).
The spelling of 106196400 in words is "one hundred six million, one hundred ninety-six thousand, four hundred".
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