106144769250 has 448 divisors, whose sum is σ = 325869433344. Its totient is φ = 25719120000.

The previous prime is 106144769249. The next prime is 106144769347. The reversal of 106144769250 is 52967441601.

106144769250 is a `hidden beast` number, since 1 + 0 + 614 + 4 + 7 + 6 + 9 + 25 + 0 = 666.

It is a super-2 number, since 2×106144769250² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106144769196 and 106144769205.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 168216435 + ... + 168217065.

It is an arithmetic number, because the mean of its divisors is an integer number (727387128).

Almost surely, 2^106144769250 is an apocalyptic number.

106144769250 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 106144769250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162934716672).

106144769250 is an abundant number, since it is smaller than the sum of its proper divisors (219724664094).

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

106144769250 is an equidigital number, since it uses as much as digits as its factorization.

106144769250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 106144769250 in words is "one hundred six billion, one hundred forty-four million, seven hundred sixty-nine thousand, two hundred fifty".