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106151733 = 3211794637
BaseRepresentation
bin1100101001110…
…11111100110101
321101202001210200
412110323330311
5204133323413
614311111113
72426163162
oct624737465
9241661720
10106151733
1154a13406
122b672499
1318cb889c
1410153069
1594bc573
hex653bf35

106151733 has 6 divisors (see below), whose sum is σ = 153330294. Its totient is φ = 70767816.

The previous prime is 106151701. The next prime is 106151743. The reversal of 106151733 is 337151601.

106151733 is a `hidden beast` number, since 1 + 0 + 615 + 17 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102758769 + 3392964 = 10137^2 + 1842^2 .

It is not a de Polignac number, because 106151733 - 25 = 106151701 is a prime.

It is a super-2 number, since 2×1061517332 = 22536380837806578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106151697 and 106151706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106151743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5897310 + ... + 5897327.

It is an arithmetic number, because the mean of its divisors is an integer number (25555049).

Almost surely, 2106151733 is an apocalyptic number.

It is an amenable number.

106151733 is a deficient number, since it is larger than the sum of its proper divisors (47178561).

106151733 is a wasteful number, since it uses less digits than its factorization.

106151733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11794643 (or 11794640 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 106151733 is about 10302.9963117532. The cubic root of 106151733 is about 473.4880575424.

The spelling of 106151733 in words is "one hundred six million, one hundred fifty-one thousand, seven hundred thirty-three".

Divisors: 1 3 9 11794637 35383911 106151733