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106006511156 = 2271331531571129
BaseRepresentation
bin110001010111001111…
…0101111111000110100
3101010121202221201112212
41202232132233320310
53214100131324111
6120410531232552
710441640322560
oct1425636577064
9333552851485
10106006511156
1140a58a03907
1218665448758
139cc5048060
1451b8a866a0
152b5670b98b
hex18ae7afe34

106006511156 has 192 divisors, whose sum is σ = 241877422080. Its totient is φ = 39529451520.

The previous prime is 106006511137. The next prime is 106006511167. The reversal of 106006511156 is 651115600601.

It is a super-2 number, since 2×1060065111562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93893600 + ... + 93894728.

It is an arithmetic number, because the mean of its divisors is an integer number (1259778240).

Almost surely, 2106006511156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106006511156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120938711040).

106006511156 is an abundant number, since it is smaller than the sum of its proper divisors (135870910924).

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

106006511156 is a wasteful number, since it uses less digits than its factorization.

106006511156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 106006511156 in words is "one hundred six billion, six million, five hundred eleven thousand, one hundred fifty-six".