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106021176372 = 22342314227211
BaseRepresentation
bin110001010111101011…
…0101100010000110100
3101010122210112210110000
41202233112230100310
53214112410120442
6120412213431300
710442206062366
oct1425726542064
9333583483400
10106021176372
1140a66210021
121866a33b530
139cc80b11b7
1451ba9c2d36
152b57b56d4c
hex18af5ac434

106021176372 has 60 divisors (see below), whose sum is σ = 289210765536. Its totient is φ = 33803850960.

The previous prime is 106021176343. The next prime is 106021176389. The reversal of 106021176372 is 273671120601.

It is a happy number.

106021176372 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 1 + 17 + 637 + 2 = 666.

It is a super-2 number, since 2×1060211763722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7106154 + ... + 7121057.

Almost surely, 2106021176372 is an apocalyptic number.

106021176372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106021176372 is an abundant number, since it is smaller than the sum of its proper divisors (183189589164).

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

106021176372 is a wasteful number, since it uses less digits than its factorization.

106021176372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14227250 (or 14227239 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 106021176372 its reverse (273671120601), we get a palindrome (379692296973).

The spelling of 106021176372 in words is "one hundred six billion, twenty-one million, one hundred seventy-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 3726 7452 14227211 28454422 42681633 56908844 85363266 128044899 170726532 256089798 327225853 384134697 512179596 654451706 768269394 981677559 1152404091 1308903412 1536538788 1963355118 2304808182 2945032677 3926710236 4609616364 5890065354 8835098031 11780130708 17670196062 26505294093 35340392124 53010588186 106021176372