106225192760 has 256 divisors, whose sum is σ = 258768639360. Its totient is φ = 39182008320.

The previous prime is 106225192741. The next prime is 106225192769. The reversal of 106225192760 is 67291522601.

It is a super-2 number, since 2×106225192760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106225192769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362543174 + ... + 362543466.

Almost surely, 2^106225192760 is an apocalyptic number.

106225192760 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 106225192760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129384319680).

106225192760 is an abundant number, since it is smaller than the sum of its proper divisors (152543446600).

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

106225192760 is a wasteful number, since it uses less digits than its factorization.

106225192760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 106225192760 in words is "one hundred six billion, two hundred twenty-five million, one hundred ninety-two thousand, seven hundred sixty".