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106006304404 = 227111326475101
BaseRepresentation
bin110001010111001110…
…1111101011010010100
3101010121202120012221101
41202232131331122110
53214100103220104
6120410522555444
710441635502030
oct1425635753224
9333552505841
10106006304404
1140a58882540
1218665368b84
139cc4ca4c10
1451b8a311c0
152b566ba5a4
hex18ae77d694

106006304404 has 48 divisors (see below), whose sum is σ = 249077759616. Its totient is φ = 38124144000.

The previous prime is 106006304351. The next prime is 106006304431. The reversal of 106006304404 is 404403600601.

It is a happy number.

It is a super-2 number, since 2×1060063044042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13233547 + ... + 13241554.

It is an arithmetic number, because the mean of its divisors is an integer number (5189119992).

Almost surely, 2106006304404 is an apocalyptic number.

106006304404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106006304404 is an abundant number, since it is smaller than the sum of its proper divisors (143071455212).

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

106006304404 is a wasteful number, since it uses less digits than its factorization.

106006304404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26475136 (or 26475134 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 106006304404 in words is "one hundred six billion, six million, three hundred four thousand, four hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 26475101 52950202 105900404 185325707 291226111 344176313 370651414 582452222 688352626 741302828 1164904444 1376705252 2038582777 2409234191 3785939443 4077165554 4818468382 7571878886 8154331108 9636936764 15143757772 26501576101 53003152202 106006304404