Search a number
-
+
106751136 = 2531111991
BaseRepresentation
bin1100101110011…
…10010010100000
321102212112000210
412113032102200
5204312014021
614332014120
72434240542
oct627162240
9242775023
10106751136
1155292788
122b901340
131916866b
141026b692
159589e76
hex65ce4a0

106751136 has 24 divisors (see below), whose sum is σ = 280221984. Its totient is φ = 35583680.

The previous prime is 106751131. The next prime is 106751137. The reversal of 106751136 is 631157601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1067511362 = 22791610074580992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106751131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 555900 + ... + 556091.

It is an arithmetic number, because the mean of its divisors is an integer number (11675916).

Almost surely, 2106751136 is an apocalyptic number.

106751136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106751136 is an abundant number, since it is smaller than the sum of its proper divisors (173470848).

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

106751136 is a wasteful number, since it uses less digits than its factorization.

106751136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112004 (or 1111996 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 106751136 is about 10332.0441346328. The cubic root of 106751136 is about 474.3775944040.

It can be divided in two parts, 10675 and 1136, that added together give a palindrome (11811).

The spelling of 106751136 in words is "one hundred six million, seven hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1111991 2223982 3335973 4447964 6671946 8895928 13343892 17791856 26687784 35583712 53375568 106751136