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106052596 = 22131727057
BaseRepresentation
bin1100101001000…
…11101111110100
321101120000210221
412110203233310
5204122140341
614305024124
72425301146
oct624435764
9241500727
10106052596
1154955981
122b625044
1318c82720
1410128c96
15949ced1
hex6523bf4

106052596 has 36 divisors (see below), whose sum is σ = 212346988. Its totient is φ = 46061568.

The previous prime is 106052591. The next prime is 106052621. The reversal of 106052596 is 695250601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 22695696 + 83356900 = 4764^2 + 9130^2 .

It is a super-2 number, since 2×1060525962 = 22494306236678432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106052591) 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, 11500 + ... + 18556.

Almost surely, 2106052596 is an apocalyptic number.

It is an amenable number.

106052596 is an abundant number, since it is smaller than the sum of its proper divisors (106294392).

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

106052596 is a wasteful number, since it uses less digits than its factorization.

106052596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 106052596 is about 10298.1841117743. The cubic root of 106052596 is about 473.3406119800.

The spelling of 106052596 in words is "one hundred six million, fifty-two thousand, five hundred ninety-six".

Divisors: 1 2 4 13 17 26 34 52 68 221 289 442 578 884 1156 3757 7057 7514 14114 15028 28228 91741 119969 183482 239938 366964 479876 1559597 2039473 3119194 4078946 6238388 8157892 26513149 53026298 106052596