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106334745 = 351117167227
BaseRepresentation
bin1100101011010…
…00101000011001
321102002100211220
412111220220121
5204210202440
614315042253
72430554556
oct625505031
9242070756
10106334745
1155028960
122b740389
1319050c8a
141019da2d
1595068d0
hex6568a19

106334745 has 64 divisors (see below), whose sum is σ = 198567936. Its totient is φ = 48020480.

The previous prime is 106334741. The next prime is 106334747. The reversal of 106334745 is 547433601.

It is not a de Polignac number, because 106334745 - 22 = 106334741 is a prime.

It is a super-2 number, since 2×1063347452 = 22614155988430050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (106334741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468322 + ... + 468548.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624).

Almost surely, 2106334745 is an apocalyptic number.

106334745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106334745 is a deficient number, since it is larger than the sum of its proper divisors (92233191).

106334745 is a wasteful number, since it uses less digits than its factorization.

106334745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 106334745 is about 10311.8739809988. The cubic root of 106334745 is about 473.7600086532.

The spelling of 106334745 in words is "one hundred six million, three hundred thirty-four thousand, seven hundred forty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 167 187 227 255 501 561 681 835 935 1135 1837 2497 2505 2805 2839 3405 3859 5511 7491 8517 9185 11577 12485 14195 19295 27555 31229 37455 37909 42449 42585 57885 93687 113727 127347 156145 189545 212245 416999 468435 568635 636735 644453 1250997 1933359 2084995 3222265 6254985 7088983 9666795 21266949 35444915 106334745