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106438696 = 23713293499
BaseRepresentation
bin1100101100000…
…10000000101000
321102021122102221
412112002000220
5204222014241
614321203424
72431466620
oct626020050
9242248387
10106438696
1155099a71
122b790574
13190893a0
14101c9880
1595275d1
hex6582028

106438696 has 64 divisors (see below), whose sum is σ = 246960000. Its totient is φ = 41879808.

The previous prime is 106438693. The next prime is 106438699. The reversal of 106438696 is 696834601.

It is an interprime number because it is at equal distance from previous prime (106438693) and next prime (106438699).

It is a super-2 number, since 2×1064386962 = 22658392012360832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106438693) 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, 213055 + ... + 213553.

It is an arithmetic number, because the mean of its divisors is an integer number (3858750).

Almost surely, 2106438696 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 106438696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123480000).

106438696 is an abundant number, since it is smaller than the sum of its proper divisors (140521304).

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

106438696 is a wasteful number, since it uses less digits than its factorization.

106438696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 106438696 is about 10316.9131042187. The cubic root of 106438696 is about 473.9143382264.

The spelling of 106438696 in words is "one hundred six million, four hundred thirty-eight thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 293 364 499 586 728 998 1172 1996 2051 2344 3493 3809 3992 4102 6487 6986 7618 8204 12974 13972 15236 16408 25948 26663 27944 30472 45409 51896 53326 90818 106652 146207 181636 213304 292414 363272 584828 1023449 1169656 1900691 2046898 3801382 4093796 7602764 8187592 13304837 15205528 26609674 53219348 106438696