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107536806900 = 2235524919013
BaseRepresentation
bin110010000100110110…
…0010111001111110100
3101021120102110210200000
41210021230113033310
53230213410310100
6121222434551300
710524601530315
oct1441154271764
9337512423600
10107536806900
11416737a6736
1218a11a38530
13a1aa0b6ab3
1452c1dd460c
152be5c3c900
hex1909b173f4

107536806900 has 216 divisors, whose sum is σ = 350302933344. Its totient is φ = 28614902400.

The previous prime is 107536806899. The next prime is 107536806901. The reversal of 107536806900 is 9608635701.

It is a happy number.

107536806900 is a `hidden beast` number, since 107 + 536 + 8 + 0 + 6 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (107536806899) and next prime (107536806901).

It is a super-2 number, since 2×1075368069002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107536806901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11926794 + ... + 11935806.

Almost surely, 2107536806900 is an apocalyptic number.

107536806900 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 107536806900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175151466672).

107536806900 is an abundant number, since it is smaller than the sum of its proper divisors (242766126444).

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

107536806900 is a wasteful number, since it uses less digits than its factorization.

107536806900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533 (or 9514 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 107536806900 in words is "one hundred seven billion, five hundred thirty-six million, eight hundred six thousand, nine hundred".