106011954478050 has 48 divisors (see below), whose sum is σ = 262996103234592. Its totient is φ = 28260558169600.

The previous prime is 106011954478049. The next prime is 106011954478057. The reversal of 106011954478050 is 50874459110601.

It is a super-2 number, since 2×106011954478050² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106011954477984 and 106011954478002.

It is not an unprimeable number, because it can be changed into a prime (106011954478057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115746804 + ... + 116659103.

It is an arithmetic number, because the mean of its divisors is an integer number (5479085484054).

Almost surely, 2^{106011954478050} is an apocalyptic number.

106011954478050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106011954478050 is an abundant number, since it is smaller than the sum of its proper divisors (156984148756542).

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

106011954478050 is a wasteful number, since it uses less digits than its factorization.

106011954478050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232408963 (or 232408958 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 106011954478050 in words is "one hundred six trillion, eleven billion, nine hundred fifty-four million, four hundred seventy-eight thousand, fifty".