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106161100000 = 255523101457
BaseRepresentation
bin110001011011110110…
…0011101010011100000
3101011000112211122120121
41202313230131103200
53214404220200000
6120434132450024
710445525314114
oct1426754352340
9334015748517
10106161100000
114102819a78a
12186a9179914
13a01b092847
1451d1407744
152b65095b1a
hex18b7b1d4e0

106161100000 has 288 divisors, whose sum is σ = 275898716352. Its totient is φ = 40128000000.

The previous prime is 106161099983. The next prime is 106161100007. The reversal of 106161100000 is 1161601.

It is a super-2 number, since 2×1061611000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106161100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232299772 + ... + 232300228.

It is an arithmetic number, because the mean of its divisors is an integer number (957981654).

Almost surely, 2106161100000 is an apocalyptic number.

106161100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106161100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137949358176).

106161100000 is an abundant number, since it is smaller than the sum of its proper divisors (169737616352).

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

106161100000 is an equidigital number, since it uses as much as digits as its factorization.

106161100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 106161100000 its reverse (1161601), we get a palindrome (106162261601).

The spelling of 106161100000 in words is "one hundred six billion, one hundred sixty-one million, one hundred thousand".