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106213919 = 7212131787
BaseRepresentation
bin1100101010010…
…11001000011111
321101212020002212
412111023020133
5204142321134
614312311035
72426542400
oct625131037
9241766085
10106213919
1154a560a9
122b6a247b
131900ac96
141016b9a7
1594d0bce
hex654b21f

106213919 has 12 divisors (see below), whose sum is σ = 123726024. Its totient is φ = 90914544.

The previous prime is 106213901. The next prime is 106213927. The reversal of 106213919 is 919312601.

It is a de Polignac number, because none of the positive numbers 2k-106213919 is a prime.

It is a super-2 number, since 2×1062139192 = 22562793178677122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106213319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58544 + ... + 60330.

It is an arithmetic number, because the mean of its divisors is an integer number (10310502).

Almost surely, 2106213919 is an apocalyptic number.

106213919 is a deficient number, since it is larger than the sum of its proper divisors (17512105).

106213919 is a wasteful number, since it uses less digits than its factorization.

106213919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 106213919 is about 10306.0137298570. The cubic root of 106213919 is about 473.5804993697.

The spelling of 106213919 in words is "one hundred six million, two hundred thirteen thousand, nine hundred nineteen".

Divisors: 1 7 49 1213 1787 8491 12509 59437 87563 2167631 15173417 106213919