Search a number
-
+
106148977 = 1128973331
BaseRepresentation
bin1100101001110…
…11010001110001
321101201221000121
412110323101301
5204133231402
614311050241
72426152144
oct624732161
9241657017
10106148977
1154a11330
122b670981
1318cb755c
141015205b
1594bb837
hex653b471

106148977 has 8 divisors (see below), whose sum is σ = 115873632. Its totient is φ = 96436800.

The previous prime is 106148963. The next prime is 106148981. The reversal of 106148977 is 779841601.

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

It is a cyclic number.

It is not a de Polignac number, because 106148977 - 27 = 106148849 is a prime.

It is a super-3 number, since 3×1061489773 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106148957) 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, 30202 + ... + 33532.

It is an arithmetic number, because the mean of its divisors is an integer number (14484204).

Almost surely, 2106148977 is an apocalyptic number.

It is an amenable number.

106148977 is a deficient number, since it is larger than the sum of its proper divisors (9724655).

106148977 is a wasteful number, since it uses less digits than its factorization.

106148977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6239.

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 106148977 is about 10302.8625633850. The cubic root of 106148977 is about 473.4839598094.

It can be divided in two parts, 10614 and 8977, that added together give a palindrome (19591).

The spelling of 106148977 in words is "one hundred six million, one hundred forty-eight thousand, nine hundred seventy-seven".

Divisors: 1 11 2897 3331 31867 36641 9649907 106148977