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106422116970 = 235132377114799
BaseRepresentation
bin110001100011101000…
…0001010001001101010
3101011200201222200112210
41203013100022021222
53220423030220340
6120520055145550
710455145032411
oct1430720121152
9334621880483
10106422116970
1141151568694
12187606752b6
13a060191960
145217d50478
152b7ce54180
hex18c740a26a

106422116970 has 64 divisors (see below), whose sum is σ = 275178355200. Its totient is φ = 26184964608.

The previous prime is 106422116951. The next prime is 106422116971. The reversal of 106422116970 is 79611224601.

106422116970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064221169702 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (106422116971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869631 + ... + 984429.

It is an arithmetic number, because the mean of its divisors is an integer number (4299661800).

Almost surely, 2106422116970 is an apocalyptic number.

106422116970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106422116970 is an abundant number, since it is smaller than the sum of its proper divisors (168756238230).

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

106422116970 is a wasteful number, since it uses less digits than its factorization.

106422116970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117199.

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 106422116970 in words is "one hundred six billion, four hundred twenty-two million, one hundred sixteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 2377 4754 7131 11885 14262 23770 30901 35655 61802 71310 92703 114799 154505 185406 229598 309010 344397 463515 573995 688794 927030 1147990 1492387 1721985 2984774 3443970 4477161 7461935 8954322 14923870 22385805 44771610 272877223 545754446 818631669 1364386115 1637263338 2728772230 3547403899 4093158345 7094807798 8186316690 10642211697 17737019495 21284423394 35474038990 53211058485 106422116970