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106521876 = 22322958941
BaseRepresentation
bin1100101100101…
…10010100010100
321102102212112200
412112112110110
5204232200001
614323044500
72432264256
oct626262424
9242385480
10106521876
115514650a
122b810730
13190b81c6
141020bcd6
159542086
hex6596514

106521876 has 18 divisors (see below), whose sum is σ = 269263722. Its totient is φ = 35507280.

The previous prime is 106521851. The next prime is 106521929. The reversal of 106521876 is 678125601.

It can be written as a sum of positive squares in only one way, i.e., 102212100 + 4309776 = 10110^2 + 2076^2 .

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

It is a super-2 number, since 2×1065218762 = 22693820133118752, 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: 2958941 = 106521876 / (1 + 0 + 6 + 5 + 2 + 1 + 8 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 106521876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1479435 + ... + 1479506.

Almost surely, 2106521876 is an apocalyptic number.

It is an amenable number.

106521876 is an abundant number, since it is smaller than the sum of its proper divisors (162741846).

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

106521876 is a wasteful number, since it uses less digits than its factorization.

106521876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958951 (or 2958946 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 106521876 is about 10320.9435615161. The cubic root of 106521876 is about 474.0377580347.

The spelling of 106521876 in words is "one hundred six million, five hundred twenty-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 2958941 5917882 8876823 11835764 17753646 26630469 35507292 53260938 106521876