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107152771 = 11311512081
BaseRepresentation
bin1100110001100…
…00010110000011
321110121220222011
412120300112003
5204412342041
614344353351
72440532515
oct630602603
9243556864
10107152771
1155537510
122ba75857
131927940b
1410333bb5
159618e81
hex6630583

107152771 has 16 divisors (see below), whose sum is σ = 121522176. Its totient is φ = 93600000.

The previous prime is 107152691. The next prime is 107152789. The reversal of 107152771 is 177251701.

It is a cyclic number.

It is not a de Polignac number, because 107152771 - 225 = 73598339 is a prime.

It is a super-2 number, since 2×1071527712 = 22963432665956882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107152271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50451 + ... + 52531.

It is an arithmetic number, because the mean of its divisors is an integer number (7595136).

Almost surely, 2107152771 is an apocalyptic number.

107152771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107152771 is a deficient number, since it is larger than the sum of its proper divisors (14369405).

107152771 is a wasteful number, since it uses less digits than its factorization.

107152771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274.

The product of its (nonzero) digits is 3430, while the sum is 31.

The square root of 107152771 is about 10351.4622638543. The cubic root of 107152771 is about 474.9717745001.

The spelling of 107152771 in words is "one hundred seven million, one hundred fifty-two thousand, seven hundred seventy-one".

Divisors: 1 11 31 151 341 1661 2081 4681 22891 51491 64511 314231 709621 3456541 9741161 107152771