106769643750 has 864 divisors, whose sum is σ = 381220100352. Its totient is φ = 21918600000.

The previous prime is 106769643733. The next prime is 106769643751. The reversal of 106769643750 is 57346967601.

It is a happy number.

106769643750 is a `hidden beast` number, since 1 + 0 + 6 + 76 + 96 + 437 + 50 = 666.

It is a super-2 number, since 2×106769643750² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106769643751) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1286381209 + ... + 1286381291.

It is an arithmetic number, because the mean of its divisors is an integer number (441226968).

Almost surely, 2^106769643750 is an apocalyptic number.

106769643750 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 106769643750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190610050176).

106769643750 is an abundant number, since it is smaller than the sum of its proper divisors (274450456602).

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

106769643750 is an frugal number, since it uses more digits than its factorization.

106769643750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 106769643750 in words is "one hundred six billion, seven hundred sixty-nine million, six hundred forty-three thousand, seven hundred fifty".