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107142804 = 22331317573
BaseRepresentation
bin1100110001011…
…01111010010100
321110121102022000
412120231322110
5204412032204
614344235300
72440461456
oct630557224
9243542260
10107142804
115552aa7a
122ba6bb30
1319274a12
14103302d6
159616039
hex662de94

107142804 has 48 divisors (see below), whose sum is σ = 279935040. Its totient is φ = 35436960.

The previous prime is 107142793. The next prime is 107142821. The reversal of 107142804 is 408241701.

It is a super-2 number, since 2×1071428042 = 22959160897964832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10362 + ... + 17934.

It is an arithmetic number, because the mean of its divisors is an integer number (5831980).

Almost surely, 2107142804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107142804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139967520).

107142804 is an abundant number, since it is smaller than the sum of its proper divisors (172792236).

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

107142804 is a wasteful number, since it uses less digits than its factorization.

107142804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7717 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 107142804 is about 10350.9808230911. The cubic root of 107142804 is about 474.9570472702.

The spelling of 107142804 in words is "one hundred seven million, one hundred forty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 7074 7573 14148 15146 22719 30292 45438 68157 90876 136314 204471 272628 408942 817884 992063 1984126 2976189 3968252 5952378 8928567 11904756 17857134 26785701 35714268 53571402 107142804