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105752023 = 1343318787
BaseRepresentation
bin1100100110110…
…10010111010111
321100222202111121
412103122113113
5204033031043
614254344411
72422606636
oct623322727
9240882447
10105752023
1154770073
122b4bb107
1318ba8980
141008b51d
15943dded
hex64da5d7

105752023 has 8 divisors (see below), whose sum is σ = 114155888. Its totient is φ = 97386624.

The previous prime is 105751993. The next prime is 105752029. The reversal of 105752023 is 320257501.

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-105752023 is a prime.

It is a super-2 number, since 2×1057520232 = 22366980737185058, 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 (105752029) 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, 3765 + ... + 15022.

It is an arithmetic number, because the mean of its divisors is an integer number (14269486).

Almost surely, 2105752023 is an apocalyptic number.

105752023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105752023 is a deficient number, since it is larger than the sum of its proper divisors (8403865).

105752023 is a wasteful number, since it uses less digits than its factorization.

105752023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19233.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 105752023 is about 10283.5802617571. The cubic root of 105752023 is about 472.8930100824.

The spelling of 105752023 in words is "one hundred five million, seven hundred fifty-two thousand, twenty-three".

Divisors: 1 13 433 5629 18787 244231 8134771 105752023