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106291010 = 2573741039
BaseRepresentation
bin1100101010111…
…01111101000010
321102000010212002
412111131331002
5204202303020
614314104002
72430313220
oct625357502
9242003762
10106291010
1154aa9011
122b71b002
13190370b7
141018bb10
1594e8975
hex655df42

106291010 has 32 divisors (see below), whose sum is σ = 224570880. Its totient is φ = 35456832.

The previous prime is 106291007. The next prime is 106291013. The reversal of 106291010 is 10192601.

It is an interprime number because it is at equal distance from previous prime (106291007) and next prime (106291013).

It is a super-2 number, since 2×1062910102 = 22595557613640200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106291013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17930 + ... + 23109.

It is an arithmetic number, because the mean of its divisors is an integer number (7017840).

Almost surely, 2106291010 is an apocalyptic number.

106291010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106291010 is an abundant number, since it is smaller than the sum of its proper divisors (118279870).

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

106291010 is a wasteful number, since it uses less digits than its factorization.

106291010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41090.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 106291010 is about 10309.7531493242. The cubic root of 106291010 is about 473.6950479630.

The spelling of 106291010 in words is "one hundred six million, two hundred ninety-one thousand, ten".

Divisors: 1 2 5 7 10 14 35 37 70 74 185 259 370 518 1295 2590 41039 82078 205195 287273 410390 574546 1436365 1518443 2872730 3036886 7592215 10629101 15184430 21258202 53145505 106291010