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106126722 = 23213597687
BaseRepresentation
bin1100101001101…
…01110110000010
321101200210111100
412110311312002
5204132023342
614310355230
72426030232
oct624656602
9241623440
10106126722
11549a6639
122b65bb16
1318caa3a0
1410147cc2
1594b4e4c
hex6535d82

106126722 has 48 divisors (see below), whose sum is σ = 251858880. Its totient is φ = 32096736.

The previous prime is 106126721. The next prime is 106126729. The reversal of 106126722 is 227621601.

It is a super-2 number, since 2×1061267222 = 22525762244930568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106126721) by changing a digit.

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, 9963 + ... + 17649.

It is an arithmetic number, because the mean of its divisors is an integer number (5247060).

Almost surely, 2106126722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106126722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125929440).

106126722 is an abundant number, since it is smaller than the sum of its proper divisors (145732158).

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

106126722 is a wasteful number, since it uses less digits than its factorization.

106126722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7767 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106126722 is about 10301.7824671267. The cubic root of 106126722 is about 473.4508675701.

The spelling of 106126722 in words is "one hundred six million, one hundred twenty-six thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 234 354 531 767 1062 1534 2301 4602 6903 7687 13806 15374 23061 46122 69183 99931 138366 199862 299793 453533 599586 899379 907066 1360599 1798758 2721198 4081797 5895929 8163594 11791858 17687787 35375574 53063361 106126722