106225511250 has 160 divisors (see below), whose sum is σ = 268274324736. Its totient is φ = 28030464000.

The previous prime is 106225511191. The next prime is 106225511291. The reversal of 106225511250 is 52115522601.

It is a super-2 number, since 2×106225511250² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 229428519 + ... + 229428981.

Almost surely, 2^106225511250 is an apocalyptic number.

106225511250 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 106225511250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134137162368).

106225511250 is an abundant number, since it is smaller than the sum of its proper divisors (162048813486).

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

106225511250 is a wasteful number, since it uses less digits than its factorization.

106225511250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 106225511250 in words is "one hundred six billion, two hundred twenty-five million, five hundred eleven thousand, two hundred fifty".