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106902516 = 22372281647
BaseRepresentation
bin1100101111100…
…11001111110100
321110011012200110
412113303033310
5204331340031
614335143020
72435441100
oct627631764
9243135613
10106902516
1155386496
122b974a70
13191bc536
14102aa900
1595b9c46
hex65f33f4

106902516 has 72 divisors (see below), whose sum is σ = 291646656. Its totient is φ = 30387840.

The previous prime is 106902479. The next prime is 106902547. The reversal of 106902516 is 615209601.

It is a super-2 number, since 2×1069025162 = 22856295854260512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 164905 + ... + 165551.

It is an arithmetic number, because the mean of its divisors is an integer number (4050648).

Almost surely, 2106902516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106902516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145823328).

106902516 is an abundant number, since it is smaller than the sum of its proper divisors (184744140).

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

106902516 is a wasteful number, since it uses less digits than its factorization.

106902516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 106902516 is about 10339.3672920542. The cubic root of 106902516 is about 474.6017211761.

The spelling of 106902516 in words is "one hundred six million, nine hundred two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 281 294 562 588 647 843 1124 1294 1686 1941 1967 2588 3372 3882 3934 4529 5901 7764 7868 9058 11802 13587 13769 18116 23604 27174 27538 31703 41307 54348 55076 63406 82614 95109 126812 165228 181807 190218 363614 380436 545421 727228 1090842 1272649 2181684 2545298 3817947 5090596 7635894 8908543 15271788 17817086 26725629 35634172 53451258 106902516