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106191096 = 23311402239
BaseRepresentation
bin1100101010001…
…01100011111000
321101211001210120
412111011203320
5204141103341
614312013240
72426416014
oct625054370
9241731716
10106191096
1154a3aa40
122b691220
131900078b
1410163544
1594c9066
hex65458f8

106191096 has 32 divisors (see below), whose sum is σ = 289612800. Its totient is φ = 32179040.

The previous prime is 106191053. The next prime is 106191103. The reversal of 106191096 is 690191601.

It is a super-2 number, since 2×1061910962 = 22553097739362432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 200856 + ... + 201383.

It is an arithmetic number, because the mean of its divisors is an integer number (9050400).

Almost surely, 2106191096 is an apocalyptic number.

It is an amenable number.

106191096 is an abundant number, since it is smaller than the sum of its proper divisors (183421704).

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

106191096 is a wasteful number, since it uses less digits than its factorization.

106191096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402259 (or 402255 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 106191096 is about 10304.9064042329. The cubic root of 106191096 is about 473.5465763142.

The spelling of 106191096 in words is "one hundred six million, one hundred ninety-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 402239 804478 1206717 1608956 2413434 3217912 4424629 4826868 8849258 9653736 13273887 17698516 26547774 35397032 53095548 106191096