106112610450 has 576 divisors, whose sum is σ = 367882953984. Its totient is φ = 21288960000.

The previous prime is 106112610449. The next prime is 106112610473. The reversal of 106112610450 is 54016211601.

106112610450 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 2 + 610 + 45 + 0 = 666.

It is a super-2 number, since 2×106112610450² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 160533120 + ... + 160533780.

It is an arithmetic number, because the mean of its divisors is an integer number (638685684).

Almost surely, 2^106112610450 is an apocalyptic number.

106112610450 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 106112610450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183941476992).

106112610450 is an abundant number, since it is smaller than the sum of its proper divisors (261770343534).

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

106112610450 is a wasteful number, since it uses less digits than its factorization.

106112610450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 106112610450 in words is "one hundred six billion, one hundred twelve million, six hundred ten thousand, four hundred fifty".