Search a number
-
+
108941905800 = 23375272131723
BaseRepresentation
bin110010101110101110…
…0011000111110001000
3101102012100102020000000
41211131130120332020
53241103111441200
6122014111043000
710604452630500
oct1453534307610
9342170366000
10108941905800
11422249582a2
1219144510460
13a37222c370
1453b6872a00
152c7928d300
hex195d718f88

108941905800 has 2304 divisors, whose sum is σ = 525791347200. Its totient is φ = 20692869120.

The previous prime is 108941905781. The next prime is 108941905819. The reversal of 108941905800 is 8509149801.

It is an interprime number because it is at equal distance from previous prime (108941905781) and next prime (108941905819).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 4736604589 + ... + 4736604611.

It is an arithmetic number, because the mean of its divisors is an integer number (228208050).

Almost surely, 2108941905800 is an apocalyptic number.

108941905800 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 108941905800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262895673600).

108941905800 is an abundant number, since it is smaller than the sum of its proper divisors (416849441400).

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

108941905800 is a wasteful number, since it uses less digits than its factorization.

108941905800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 108941905800 in words is "one hundred eight billion, nine hundred forty-one million, nine hundred five thousand, eight hundred".