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106506060984 = 23321479250847
BaseRepresentation
bin110001100110001000…
…0011000010010111000
3101011220120221111002100
41203030100120102320
53221111022422414
6120532254303400
710460214403221
oct1431420302270
9334816844070
10106506060984
1141194993004
12187847b7b60
13a0746a327b
145225162248
152b854d6609
hex18cc4184b8

106506060984 has 24 divisors (see below), whose sum is σ = 288453915360. Its totient is φ = 35502020304.

The previous prime is 106506060979. The next prime is 106506060989. The reversal of 106506060984 is 489060605601.

106506060984 is a `hidden beast` number, since 1 + 0 + 6 + 506 + 0 + 60 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (106506060979) and next prime (106506060989).

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

It is a super-2 number, since 2×1065060609842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106506060989) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 739625352 + ... + 739625495.

It is an arithmetic number, because the mean of its divisors is an integer number (12018913140).

Almost surely, 2106506060984 is an apocalyptic number.

It is an amenable number.

106506060984 is an abundant number, since it is smaller than the sum of its proper divisors (181947854376).

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

106506060984 is a wasteful number, since it uses less digits than its factorization.

106506060984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479250859 (or 1479250852 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 106506060984 in words is "one hundred six billion, five hundred six million, sixty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1479250847 2958501694 4437752541 5917003388 8875505082 11834006776 13313257623 17751010164 26626515246 35502020328 53253030492 106506060984