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106098641 = 11191992551
BaseRepresentation
bin1100101001011…
…10111111010001
321101122100222022
412110232333101
5204130124031
614310021225
72425552325
oct624567721
9241570868
10106098641
1154987530
122b647815
1318c9a67c
141013b985
1594ab97b
hex652efd1

106098641 has 16 divisors (see below), whose sum is σ = 122496000. Its totient is φ = 90882000.

The previous prime is 106098623. The next prime is 106098661. The reversal of 106098641 is 146890601.

It is a de Polignac number, because none of the positive numbers 2k-106098641 is a prime.

It is a super-2 number, since 2×1060986412 = 22513843244093762, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106098661) 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, 40316 + ... + 42866.

It is an arithmetic number, because the mean of its divisors is an integer number (7656000).

Almost surely, 2106098641 is an apocalyptic number.

106098641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106098641 is a deficient number, since it is larger than the sum of its proper divisors (16397359).

106098641 is a wasteful number, since it uses less digits than its factorization.

106098641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 106098641 is about 10300.4194574784. The cubic root of 106098641 is about 473.4091057143.

The spelling of 106098641 in words is "one hundred six million, ninety-eight thousand, six hundred forty-one".

Divisors: 1 11 19 199 209 2189 2551 3781 28061 41591 48469 507649 533159 5584139 9645331 106098641