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105746399 = 1183115823
BaseRepresentation
bin1100100110110…
…00111111011111
321100222110210022
412103120333133
5204032341044
614254302355
72422554353
oct623307737
9240873708
10105746399
1154766920
122b4b79bb
1318ba6245
1410089463
15943c3ee
hex64d8fdf

105746399 has 8 divisors (see below), whose sum is σ = 116750592. Its totient is φ = 94974040.

The previous prime is 105746371. The next prime is 105746449. The reversal of 105746399 is 993647501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105746399 is a prime.

It is a super-2 number, since 2×1057463992 = 22364601802934402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105746309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56999 + ... + 58824.

It is an arithmetic number, because the mean of its divisors is an integer number (14593824).

Almost surely, 2105746399 is an apocalyptic number.

105746399 is a deficient number, since it is larger than the sum of its proper divisors (11004193).

105746399 is a wasteful number, since it uses less digits than its factorization.

105746399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115917.

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 105746399 is about 10283.3068124996. The cubic root of 105746399 is about 472.8846269569.

The spelling of 105746399 in words is "one hundred five million, seven hundred forty-six thousand, three hundred ninety-nine".

Divisors: 1 11 83 913 115823 1274053 9613309 105746399