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106116876 = 22322947691
BaseRepresentation
bin1100101001100…
…11011100001100
321101200021222200
412110303130030
5204131220001
614310241500
72425656435
oct624633414
9241607880
10106116876
115499a1a8
122b656290
1318ca5a68
141014448c
1594b2086
hex653370c

106116876 has 18 divisors (see below), whose sum is σ = 268239972. Its totient is φ = 35372280.

The previous prime is 106116863. The next prime is 106116889. The reversal of 106116876 is 678611601.

It is an interprime number because it is at equal distance from previous prime (106116863) and next prime (106116889).

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1061168762 = 22521582743998752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2947691 = 106116876 / (1 + 0 + 6 + 1 + 1 + 6 + 8 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 106116876.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1473810 + ... + 1473881.

Almost surely, 2106116876 is an apocalyptic number.

It is an amenable number.

106116876 is an abundant number, since it is smaller than the sum of its proper divisors (162123096).

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

106116876 is a wasteful number, since it uses less digits than its factorization.

106116876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947701 (or 2947696 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106116876 is about 10301.3045775766. The cubic root of 106116876 is about 473.4362255104.

The spelling of 106116876 in words is "one hundred six million, one hundred sixteen thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 2947691 5895382 8843073 11790764 17686146 26529219 35372292 53058438 106116876