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106814812021 = 109621974401
BaseRepresentation
bin110001101111010101…
…0001010111101110101
3101012201002220122212221
41203132222022331311
53222224042441041
6121023044042341
710500653631061
oct1433652127565
9335632818787
10106814812021
11413331a4255
12188500933b1
13a0c36462a8
145254172aa1
152ba26732d1
hex18dea8af75

106814812021 has 4 divisors (see below), whose sum is σ = 106815896044. Its totient is φ = 106813728000.

The previous prime is 106814812001. The next prime is 106814812067. The reversal of 106814812021 is 120218418601.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 51660289521 + 55154522500 = 227289^2 + 234850^2 .

It is a 4-Lehmer number, since φ(106814812021) divides (106814812021-1)4.

It is a cyclic number.

It is not a de Polignac number, because 106814812021 - 211 = 106814809973 is a prime.

It is a super-2 number, since 2×1068148120212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106814812001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 377580 + ... + 596821.

It is an arithmetic number, because the mean of its divisors is an integer number (26703974011).

Almost surely, 2106814812021 is an apocalyptic number.

106814812021 is the 174696-th centered heptagonal number.

It is an amenable number.

106814812021 is a deficient number, since it is larger than the sum of its proper divisors (1084023).

106814812021 is an equidigital number, since it uses as much as digits as its factorization.

106814812021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084022.

The product of its (nonzero) digits is 6144, while the sum is 34.

The spelling of 106814812021 in words is "one hundred six billion, eight hundred fourteen million, eight hundred twelve thousand, twenty-one".

Divisors: 1 109621 974401 106814812021