Search a number
-
+
106344975 = 35211128903
BaseRepresentation
bin1100101011010…
…11001000001111
321102002212212210
412111223020033
5204211014400
614315201503
72430626442
oct625531017
9242085783
10106344975
1155035610
122b746293
1319055829
14101a3659
159509950
hex656b20f

106344975 has 24 divisors (see below), whose sum is σ = 191809152. Its totient is φ = 51560800.

The previous prime is 106344967. The next prime is 106344983. The reversal of 106344975 is 579443601.

It is an interprime number because it is at equal distance from previous prime (106344967) and next prime (106344983).

It is not a de Polignac number, because 106344975 - 23 = 106344967 is a prime.

It is a super-2 number, since 2×1063449752 = 22618507415501250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63627 + ... + 65276.

It is an arithmetic number, because the mean of its divisors is an integer number (7992048).

Almost surely, 2106344975 is an apocalyptic number.

106344975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106344975 is a deficient number, since it is larger than the sum of its proper divisors (85464177).

106344975 is a wasteful number, since it uses less digits than its factorization.

106344975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128927 (or 128922 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 106344975 is about 10312.3699991806. The cubic root of 106344975 is about 473.7752009577.

The spelling of 106344975 in words is "one hundred six million, three hundred forty-four thousand, nine hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 128903 386709 644515 1417933 1933545 3222575 4253799 7089665 9667725 21268995 35448325 106344975