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106006362621 = 343880793307
BaseRepresentation
bin110001010111001111…
…0001011100111111101
3101010121202200011210120
41202232132023213331
53214100112100441
6120410524125153
710441636133535
oct1425636134775
9333552604716
10106006362621
1140a58912255
12186653967b9
139cc4cc5573
1451b8a484c5
152b566cc966
hex18ae78b9fd

106006362621 has 16 divisors (see below), whose sum is σ = 144646808064. Its totient is φ = 69018821424.

The previous prime is 106006362607. The next prime is 106006362643. The reversal of 106006362621 is 126263600601.

It is not a de Polignac number, because 106006362621 - 215 = 106006329853 is a prime.

It is a super-2 number, since 2×1060063626212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006362691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089450 + ... + 1182756.

It is an arithmetic number, because the mean of its divisors is an integer number (9040425504).

Almost surely, 2106006362621 is an apocalyptic number.

It is an amenable number.

106006362621 is a deficient number, since it is larger than the sum of its proper divisors (38640445443).

106006362621 is an equidigital number, since it uses as much as digits as its factorization.

106006362621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102160.

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 106006362621 in words is "one hundred six billion, six million, three hundred sixty-two thousand, six hundred twenty-one".

Divisors: 1 3 43 129 8807 26421 93307 279921 378701 1136103 4012201 12036603 821754749 2465264247 35335454207 106006362621