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106101556 = 221117831709
BaseRepresentation
bin1100101001011…
…11101100110100
321101122111222021
412110233230310
5204130222211
614310042524
72425563661
oct624575464
9241574867
10106101556
1154989740
122b649444
1318c9bab2
141013ca68
1594ac771
hex652fb34

106101556 has 48 divisors (see below), whose sum is σ = 217183680. Its totient is φ = 44817920.

The previous prime is 106101547. The next prime is 106101577. The reversal of 106101556 is 655101601.

It is a super-2 number, since 2×1061015562 = 22515080371242272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106101556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61230 + ... + 62938.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2106101556 is an apocalyptic number.

It is an amenable number.

106101556 is an abundant number, since it is smaller than the sum of its proper divisors (111082124).

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

106101556 is a wasteful number, since it uses less digits than its factorization.

106101556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 106101556 is about 10300.5609555985. The cubic root of 106101556 is about 473.4134412235.

The spelling of 106101556 in words is "one hundred six million, one hundred one thousand, five hundred fifty-six".

Divisors: 1 2 4 11 17 22 34 44 68 83 166 187 332 374 748 913 1411 1709 1826 2822 3418 3652 5644 6836 15521 18799 29053 31042 37598 58106 62084 75196 116212 141847 283694 319583 567388 639166 1278332 1560317 2411399 3120634 4822798 6241268 9645596 26525389 53050778 106101556