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107111424 = 2103717293
BaseRepresentation
bin1100110001001…
…10010000000000
321110112211020210
412120212100000
5204410031144
614343434120
72440301130
oct630462000
9243484223
10107111424
1155509442
122ba55940
1319263654
1410322ac0
15960bab9
hex6626400

107111424 has 176 divisors, whose sum is σ = 346647168. Its totient is φ = 28704768.

The previous prime is 107111423. The next prime is 107111443. The reversal of 107111424 is 424111701.

It is a super-2 number, since 2×1071114242 = 22945714302615552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 107111424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107111423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365422 + ... + 365714.

Almost surely, 2107111424 is an apocalyptic number.

107111424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173323584).

107111424 is an abundant number, since it is smaller than the sum of its proper divisors (239535744).

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

107111424 is a wasteful number, since it uses less digits than its factorization.

107111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 107111424 is about 10349.4649137045. The cubic root of 107111424 is about 474.9106742464.

The spelling of 107111424 in words is "one hundred seven million, one hundred eleven thousand, four hundred twenty-four".