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106408921340 = 22529318158519
BaseRepresentation
bin110001100011001110…
…1110100100011111100
3101011122211011021112202
41203012131310203330
53220411140440330
6120514504251032
710454624623241
oct1430635644374
9334584137482
10106408921340
1141145075607
1218758170a78
13a05a5216a7
1452162b75c8
152b7bbe9445
hex18c67748fc

106408921340 has 24 divisors (see below), whose sum is σ = 224221404960. Its totient is φ = 42418298048.

The previous prime is 106408921313. The next prime is 106408921363. The reversal of 106408921340 is 43129804601.

It is a super-2 number, since 2×1064089213402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106408921294 and 106408921303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9073400 + ... + 9085119.

It is an arithmetic number, because the mean of its divisors is an integer number (9342558540).

Almost surely, 2106408921340 is an apocalyptic number.

106408921340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106408921340 is an abundant number, since it is smaller than the sum of its proper divisors (117812483620).

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

106408921340 is a wasteful number, since it uses less digits than its factorization.

106408921340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18158821 (or 18158819 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 106408921340 in words is "one hundred six billion, four hundred eight million, nine hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 18158519 36317038 72634076 90792595 181585190 363170380 5320446067 10640892134 21281784268 26602230335 53204460670 106408921340