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106187756380 = 22517330690103
BaseRepresentation
bin110001011100101001…
…0001001001101011100
3101011002101222221020221
41202321102021031130
53214433031201010
6120440524051124
710446301015366
oct1427122111534
9334071887227
10106187756380
1141041247052
12186b6093aa4
13a023766954
1451d4b85d36
152b675addda
hex18b948935c

106187756380 has 24 divisors (see below), whose sum is σ = 224283280032. Its totient is φ = 42229580352.

The previous prime is 106187756317. The next prime is 106187756393. The reversal of 106187756380 is 83657781601.

It is a super-2 number, since 2×1061877563802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15341592 + ... + 15348511.

It is an arithmetic number, because the mean of its divisors is an integer number (9345136668).

Almost surely, 2106187756380 is an apocalyptic number.

106187756380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106187756380 is an abundant number, since it is smaller than the sum of its proper divisors (118095523652).

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

106187756380 is a wasteful number, since it uses less digits than its factorization.

106187756380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30690285 (or 30690283 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 106187756380 in words is "one hundred six billion, one hundred eighty-seven million, seven hundred fifty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 30690103 61380206 122760412 153450515 306901030 613802060 5309387819 10618775638 21237551276 26546939095 53093878190 106187756380