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106043000460 = 22351767383341
BaseRepresentation
bin110001011000010100…
…1111100011010001100
3101010201022121120110120
41202300221330122030
53214134002003320
6120414313304540
710442562426435
oct1426051743214
9333638546416
10106043000460
1140a77566861
1218675705150
139ccc782967
1451bd86448c
152b59a18440
hex18b0a7c68c

106043000460 has 24 divisors (see below), whose sum is σ = 296920401456. Its totient is φ = 28278133440.

The previous prime is 106043000447. The next prime is 106043000489. The reversal of 106043000460 is 64000340601.

It is a super-2 number, since 2×1060430004602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106043000460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883691611 + ... + 883691730.

It is an arithmetic number, because the mean of its divisors is an integer number (12371683394).

Almost surely, 2106043000460 is an apocalyptic number.

106043000460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106043000460 is an abundant number, since it is smaller than the sum of its proper divisors (190877400996).

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

106043000460 is a wasteful number, since it uses less digits than its factorization.

106043000460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767383353 (or 1767383351 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 106043000460 in words is "one hundred six billion, forty-three million, four hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1767383341 3534766682 5302150023 7069533364 8836916705 10604300046 17673833410 21208600092 26510750115 35347666820 53021500230 106043000460