106253414550 has 144 divisors (see below), whose sum is σ = 296311159872. Its totient is φ = 28308333600.

The previous prime is 106253414539. The next prime is 106253414609. The reversal of 106253414550 is 55414352601.

106253414550 is a `hidden beast` number, since 1 + 0 + 62 + 5 + 3 + 41 + 4 + 550 = 666.

It is a super-2 number, since 2×106253414550² (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 71 ways as a sum of consecutive naturals, for example, 15876705 + ... + 15883395.

It is an arithmetic number, because the mean of its divisors is an integer number (2057716388).

Almost surely, 2^106253414550 is an apocalyptic number.

106253414550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106253414550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148155579936).

106253414550 is an abundant number, since it is smaller than the sum of its proper divisors (190057745322).

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

106253414550 is a wasteful number, since it uses less digits than its factorization.

106253414550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 106253414550 in words is "one hundred six billion, two hundred fifty-three million, four hundred fourteen thousand, five hundred fifty".