Search a number
-
+
106154035 = 5131725651
BaseRepresentation
bin1100101001111…
…00100000110011
321101202011221221
412110330200303
5204133412120
614311125511
72426202661
oct624744063
9241664857
10106154035
1154a15109
122b673897
1318cb9950
1410153c31
1594bd0aa
hex653c833

106154035 has 24 divisors (see below), whose sum is σ = 145753776. Its totient is φ = 73766400.

The previous prime is 106154033. The next prime is 106154047. The reversal of 106154035 is 530451601.

It is not a de Polignac number, because 106154035 - 21 = 106154033 is a prime.

It is a super-2 number, since 2×1061540352 = 22537358293562450, 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 (106154033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15960 + ... + 21610.

It is an arithmetic number, because the mean of its divisors is an integer number (6073074).

Almost surely, 2106154035 is an apocalyptic number.

106154035 is a deficient number, since it is larger than the sum of its proper divisors (39599741).

106154035 is a wasteful number, since it uses less digits than its factorization.

106154035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5703 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 106154035 is about 10303.1080262220. The cubic root of 106154035 is about 473.4914801954.

The spelling of 106154035 in words is "one hundred six million, one hundred fifty-four thousand, thirty-five".

Divisors: 1 5 13 17 65 85 221 289 1105 1445 3757 5651 18785 28255 73463 96067 367315 480335 1248871 1633139 6244355 8165695 21230807 106154035