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106030431 = 33132191223
BaseRepresentation
bin1100101000111…
…10010101011111
321101111220102000
412110132111133
5204120433211
614304333343
72425146423
oct624362537
9241456360
10106030431
1154940261
122b614253
1318c75600
1410120b83
159496656
hex651e55f

106030431 has 48 divisors (see below), whose sum is σ = 179193600. Its totient is φ = 61764768.

The previous prime is 106030429. The next prime is 106030439. The reversal of 106030431 is 134030601.

It is not a de Polignac number, because 106030431 - 21 = 106030429 is a prime.

It is a super-2 number, since 2×1060304312 = 22484904596091522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106030439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86086 + ... + 87308.

It is an arithmetic number, because the mean of its divisors is an integer number (3733200).

Almost surely, 2106030431 is an apocalyptic number.

106030431 is a deficient number, since it is larger than the sum of its proper divisors (73163169).

106030431 is a wasteful number, since it uses less digits than its factorization.

106030431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106030431 is about 10297.1078949383. The cubic root of 106030431 is about 473.3076336087.

The spelling of 106030431 in words is "one hundred six million, thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 13 19 27 39 57 117 169 171 247 351 507 513 741 1223 1521 2223 3211 3669 4563 6669 9633 11007 15899 23237 28899 33021 47697 69711 86697 143091 206687 209133 302081 429273 620061 627399 906243 1860183 2718729 3927053 5580549 8156187 11781159 35343477 106030431