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106187076 = 22324396719
BaseRepresentation
bin1100101010001…
…00100101000100
321101210212021200
412111010211010
5204140441301
614311542500
72426401212
oct625044504
9241725250
10106187076
1154a37a16
122b68aa30
1318ccb9b8
1410161cb2
1594c7c86
hex6544944

106187076 has 36 divisors (see below), whose sum is σ = 269068800. Its totient is φ = 35309808.

The previous prime is 106187069. The next prime is 106187087. The reversal of 106187076 is 670781601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1061870762 = 22551390218859552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106187076.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12445 + ... + 19163.

Almost surely, 2106187076 is an apocalyptic number.

It is an amenable number.

106187076 is an abundant number, since it is smaller than the sum of its proper divisors (162881724).

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

106187076 is a wasteful number, since it uses less digits than its factorization.

106187076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 106187076 is about 10304.7113496691. The cubic root of 106187076 is about 473.5406006680.

The spelling of 106187076 in words is "one hundred six million, one hundred eighty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 439 878 1317 1756 2634 3951 5268 6719 7902 13438 15804 20157 26876 40314 60471 80628 120942 241884 2949641 5899282 8848923 11798564 17697846 26546769 35395692 53093538 106187076