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107421200 = 2452318663
BaseRepresentation
bin1100110011100…
…01111000010000
321111010120011222
412121301320100
5204444434300
614354224212
72443031225
oct631617020
9244116158
10107421200
1155700157
122bb85068
1319341653
14103a394c
15966d785
hex6671e10

107421200 has 60 divisors (see below), whose sum is σ = 266435328. Its totient is φ = 41577600.

The previous prime is 107421163. The next prime is 107421203. The reversal of 107421200 is 2124701.

It is not an unprimeable number, because it can be changed into a prime (107421203) 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, 8069 + ... + 16731.

Almost surely, 2107421200 is an apocalyptic number.

107421200 is a gapful number since it is divisible by the number (10) 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 107421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133217664).

107421200 is an abundant number, since it is smaller than the sum of its proper divisors (159014128).

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

107421200 is a wasteful number, since it uses less digits than its factorization.

107421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 107421200 is about 10364.4199065843. The cubic root of 107421200 is about 475.3680619110.

Adding to 107421200 its reverse (2124701), we get a palindrome (109545901).

The spelling of 107421200 in words is "one hundred seven million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 8663 12400 17326 34652 43315 69304 86630 138608 173260 216575 268553 346520 433150 537106 693040 866300 1074212 1342765 1732600 2148424 2685530 3465200 4296848 5371060 6713825 10742120 13427650 21484240 26855300 53710600 107421200