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107514330 = 235721161109
BaseRepresentation
bin1100110100010…
…00100111011010
321111022021221020
412122020213122
5210010424310
614400223310
72443566600
oct632104732
9244267836
10107514330
1155764120
123000ab36
1319374b61
14103c9870
15968b170
hex66889da

107514330 has 192 divisors, whose sum is σ = 335871360. Its totient is φ = 21772800.

The previous prime is 107514301. The next prime is 107514347. The reversal of 107514330 is 33415701.

It is a self number, because there is not a number n which added to its sum of digits gives 107514330.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 986316 + ... + 986424.

It is an arithmetic number, because the mean of its divisors is an integer number (1749330).

Almost surely, 2107514330 is an apocalyptic number.

107514330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107514330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

107514330 is an abundant number, since it is smaller than the sum of its proper divisors (228357030).

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

107514330 is a wasteful number, since it uses less digits than its factorization.

107514330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 107514330 is about 10368.9117075998. The cubic root of 107514330 is about 475.5053974339.

The spelling of 107514330 in words is "one hundred seven million, five hundred fourteen thousand, three hundred thirty".