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106959033 = 32103111527
BaseRepresentation
bin1100110000000…
…01000010111001
321110021002012200
412120001002321
5204340142113
614340300413
72436064626
oct630010271
9243232180
10106959033
11554149a5
122b9a1709
131920c18c
14102c334d
1595cb873
hex66010b9

106959033 has 12 divisors (see below), whose sum is σ = 154659648. Its totient is φ = 71230680.

The previous prime is 106959023. The next prime is 106959049. The reversal of 106959033 is 330959601.

106959033 is a `hidden beast` number, since 1 + 0 + 69 + 590 + 3 + 3 = 666.

It is not a de Polignac number, because 106959033 - 29 = 106958521 is a prime.

It is a super-2 number, since 2×1069590332 = 22880469480590178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106959023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3516 + ... + 15042.

It is an arithmetic number, because the mean of its divisors is an integer number (12888304).

Almost surely, 2106959033 is an apocalyptic number.

It is an amenable number.

106959033 is a deficient number, since it is larger than the sum of its proper divisors (47700615).

106959033 is a wasteful number, since it uses less digits than its factorization.

106959033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12564 (or 12561 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 106959033 is about 10342.1000285242. The cubic root of 106959033 is about 474.6853435920.

The spelling of 106959033 in words is "one hundred six million, nine hundred fifty-nine thousand, thirty-three".

Divisors: 1 3 9 1031 3093 9279 11527 34581 103743 11884337 35653011 106959033