Search a number
-
+
106005010619 = 3721121135647
BaseRepresentation
bin110001010111001100…
…1000001100010111011
3101010121200010111012102
41202232121001202323
53214044240314434
6120410435134015
710441621503044
oct1425631014273
9333550114172
10106005010619
1140a580794a2
1218664a4430b
139cc4941071
1451b87b58cb
152b5651207e
hex18ae6418bb

106005010619 has 8 divisors (see below), whose sum is σ = 108875968128. Its totient is φ = 103134366720.

The previous prime is 106005010561. The next prime is 106005010627. The reversal of 106005010619 is 916010500601.

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-106005010619 is a prime.

It is a super-2 number, since 2×1060050106192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106005010591 and 106005010600.

It is not an unprimeable number, because it can be changed into a prime (106005010669) 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, 713654 + ... + 849300.

It is an arithmetic number, because the mean of its divisors is an integer number (13609496016).

Almost surely, 2106005010619 is an apocalyptic number.

106005010619 is a deficient number, since it is larger than the sum of its proper divisors (2870957509).

106005010619 is a wasteful number, since it uses less digits than its factorization.

106005010619 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156805.

The product of its (nonzero) digits is 1620, while the sum is 29.

The spelling of 106005010619 in words is "one hundred six billion, five million, ten thousand, six hundred nineteen".

Divisors: 1 37 21121 135647 781477 5018939 2865000287 106005010619